Archive for the ‘Quantum Computing’ Category

Quantum computing is finally having something of a moment – World Finance

Author: David Orrell, Author and Economist

March 16, 2021

In 2019, Google announced that they had achieved quantum supremacy by showing they could run a particular task much faster on their quantum device than on any classical computer. Research teams around the world are competing to find the first real-world applications and finance is at the very top of this list.

However, quantum computing may do more than change the way that quantitative analysts run their algorithms. It may also profoundly alter our perception of the financial system, and the economy in general. The reason for this is that classical and quantum computers handle probability in a different way.

The quantum coinIn classical probability, a statement can be either true or false, but not both at the same time. In mathematics-speak, the rule for determining the size of some quantity is called the norm. In classical probability, the norm, denoted the 1-norm, is just the magnitude. If the probability is 0.5, then that is the size.

The next-simplest norm, known as the 2-norm, works for a pair of numbers, and is the square root of the sum of squares. The 2-norm therefore corresponds to the distance between two points on a 2-dimensional plane, instead of a 1-dimensional line, hence the name. Since mathematicians love to extend a theory, a natural question to ask is what rules for probability would look like if they were based on this 2-norm.

It is only in the final step, when we take the magnitude into account, that negative probabilities are forced to become positive

For one thing, we could denote the state of something like a coin toss by a 2-D diagonal ray of length 1. The probability of heads is given by the square of the horizontal extent, while the probability of tails is given by the square of the vertical extent. By the Pythagorean theorem, the sum of these two numbers equals 1, as expected for a probability. If the coin is perfectly balanced, then the line should be at 45 degrees, so the chances of getting a heads or tails are identical. When we toss the coin and observe the outcome, the ambiguous state collapses to either heads or tails.

Because the norm of a quantum probability depends on the square, one could also imagine cases where the probabilities were negative. In classical probability, negative probabilities dont make sense: if a forecaster announced a negative 30 percent chance of rain tomorrow, we would think they were crazy. However, in a 2-norm, there is nothing to prevent negative probabilities occurring. It is only in the final step, when we take the magnitude into account, that negative probabilities are forced to become positive. If were going to allow negative numbers, then for mathematical consistency we should also permit complex numbers, which involve the square root of negative one. Now its possible well end up with a complex number for a probability; however the 2-norm of a complex number is a positive number (or zero). To summarise, classical probability is the simplest kind of probability, which is based on the 1-norm and involves positive numbers. The next-simplest kind of probability uses the 2-norm, and includes complex numbers. This kind of probability is called quantum probability.

Quantum logicIn a classical computer, a bit can take the value of 0 or 1. In a quantum computer, the state is represented by a qubit, which in mathematical terms describes a ray of length 1. Only when the qubit is measured does it give a 0 or 1. But prior to measurement, a quantum computer can work in the superposed state, which is what makes them so powerful.

So what does this have to do with finance? Well, it turns out that quantum algorithms behave in a very different way from their classical counterparts. For example, many of the algorithms used by quantitative analysts are based on the concept of a random walk. This assumes that the price of an asset such as a stock varies in a random way, taking a random step up or down at each time step. It turns out that the magnitude of the expected change increases with the square-root of time.

Quantum computing has its own version of the random walk, which is known as the quantum walk. One difference is the expected magnitude of change, which grows much faster (linearly with time). This feature matches the way that most people think about financial markets. After all, if we think a stock will go up by eight percent in a year then we will probably extend that into the future as well, so the next year it will grow by another eight percent. We dont think in square-roots.

This is just one way in which quantum models seem a better fit to human thought processes than classical ones. The field of quantum cognition shows that many of what behavioural economists call paradoxes of human decision-making actually make perfect sense when we switch to quantum probability. Once quantum computers become established in finance, expect quantum algorithms to get more attention, not for their ability to improve processing times, but because they are a better match for human behaviour.

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Quantum computing is finally having something of a moment - World Finance

Atos supports the Leibniz Supercomputing Centre in pioneering quantum-accelerated computing with the Atos QLM – GlobeNewswire

Munich and Paris, March 18, 2021 Atos today announced that it has delivered its Atos Quantum Learning Machine (Atos QLM), the world's highest-performing commercially available quantum simulator, to the Leibniz Supercomputing Centre (LRZ), of the Bavarian Academy of Sciences and Humanities. The Atos QLM is installed in the recently opened LRZ Quantum Integration Centre (QIC), Bavarias preeminent computing facility. The center was designed to bring practical quantum applications to the scientific community by advancing the convergence of quantum computing and supercomputing.

The LRZ is among the first computing centers worldwide to focus on the integration of quantum computing in an HPC environment with its Quantum Integration Centre. The hybrid quantum-HPC approach shows significant promises in effectively using todays classical computers to harness the power of near-term quantum applications. Leveraging both the Atos QLM and its collaboration with key players like Atos, the Finnish-German startup IQM and other partners, LRZ will be able to make quantum technologies available to more users. By taking advantage of existing HPC infrastructures, this initiative will allow them to explore and capture the opportunities made possible by quantum computing within a couple of years.

At the LRZ, we are a partner for digitalization in science. We are expanding our portfolio by integrating services for quantum computing. This way we enable world-class researchers to find new approaches to solving grand-challenge scientific problems. However, we are only at the beginning with this technology. At the LRZ Quantum Integration Centre, scientists will be able to learn how to use it and prepare themselves for the future of quantum computing. The collaboration with Atos and the use of the Atos Quantum Learning Machine are an essential building block in our Quantum Computing strategy, explained Prof. Dieter Kranzlmller, Chairman of the Leibniz Supercomputing Centre.

LRZ and Atos share a very pragmatic approach to quantum computing that focuses on quantum-accelerated HPC, with the aim of delivering early strategic benefits to users before we fully enter the post-quantum era. The Atos QLM is a direct extension of this approach and we are honored to be one of the first hardware partners of the LRZ Quantum Integration Centre. It is a fantastic project and marks the significant contribution made by LRZ to the quantum computing community, said Elie Girard, Atos CEO.

The LRZ Quantum Integration Centre supports the Munich Quantum Valley, a central element of the Bavarian quantum initiative to drive quantum computing forward at a national and international level. The partnership between Atos and LRZ is a testament to the ambition of the Bavarian authorities to become an internationally competitive quantum location by incorporating international, leading-edge knowledge, skills and technologies. Subject to the approval of the state parliament, the Free State of Bavaria committed to providing a total of 300 million euros.

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About AtosAtos is a global leader in digital transformation with 105,000 employees and annual revenue of over 11 billion. European number one in cybersecurity, cloud and high performance computing, the Group provides tailored end-to-end solutions for all industries in 71 countries. A pioneer in decarbonization services and products, Atos is committed to a secure and decarbonized digital for its clients. Atos operates under the brands Atos and Atos|Syntel. Atos is a SE (Societas Europaea), listed on the CAC40 Paris stock index.

The purpose of Atos is to help design the future of the information space. Its expertise and services support the development of knowledge, education and research in a multicultural approach and contribute to the development of scientific and technological excellence. Across the world, the Group enables its customers and employees, and members of societies at large to live, work and develop sustainably, in a safe and secure information space.

Press contact:Marion Delmas | marion.delmas@atos.net | +33 6 37 63 91 99

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Atos supports the Leibniz Supercomputing Centre in pioneering quantum-accelerated computing with the Atos QLM - GlobeNewswire

After the Govt’s Big Allocation on Quantum Technologies in 2020, What Next? – The Wire Science

Photograph of a quantum computing chip that a Google team used in their claimed quantum computer. Photo: Nature 574, 505-510 (2019).

The Union finance ministry presented the national budget for 2021 one and a half months ago. One of the prime motivations of a nationalist government should be cyber-security, and it is high time we revisited this technological space from the context of this budget and the last one.

One of the highlights of the 2020 budget was the governments new investment in quantum computing. Finance minister Nirmala Sitharamans words then turned the heads of researchers and developers working in this area: It is proposed to provide an outlay of 8,000 crore rupees over a period of five years for the National Mission on Quantum Technologies and Applications.

Thanks to the pandemic, it is not clear how much funding the government transferred in the first year. The 2021 budget speech made no reference to quantum technologies.

Its important we discuss this topic from a technological perspective. Around four decades ago, physicist Richard Feynman pointed out the possibility of devices like quantum computers in a famous speech. In the early 1990s, Peter Shor and others proved that such computers could easily factor the product of two large prime numbers a task deemed very difficult for the classical computers we are familiar with. This problem, of prime factorisation, underlies the utility of public key crypto-systems, used to secure digital transactions, sensitive information, etc. online.

If we have a practicable quantum computer, the digital security systems currently in use around the world will break down quickly, including that of financial institutions. But commercial quantum computers are still many years away.

On this count, the economically developed nations are on average far ahead of others. Countries like the US, Canada, Australia and China have already made many advancements towards building usable quantum computers with meaningful capabilities. Against this background, the present governments decision in February 2020 to invest such a large sum in quantum technologies was an outstanding development.

The problem now lies with distributing the money and achieving the actual technological advances. So far, there is no clear evidence of this in the public domain.

A logical step in this direction would be to re-invest a large share of the allocation in indigenous development. This is also where the problems lie. One must understand that India has never been successful in fabricating advanced electronic equipment. While we have very good software engineers and theoretical computer scientists, there is no proven expertise in producing chips and circuits. We might have some limited exposure in assembling and testing but nothing beyond that.

So while Atmanirbhar Bharat is an interesting idea, it will surely take a very long time before we find ourselves able to compete with developed nations vis--vis seizing on this extremely sophisticated technology involving quantum physics. In the meantime, just as we import classical computers and networking equipment, so should we proceed by importing quantum equipment, until our indigenous capability in this field matures to a certain extent.

For example, demonstrating a four-qubit quantum system or designing a proof-of-concept quantum key distribution (QKD) circuit might be a nice textbook assignment. However, the outcome will not nearly be competitive to products already available in the international arena. IBM and Google have demonstrated the use of machines with more than 50 qubits. (These groups have participation from Indian scientists working abroad.) IBM has promised a thousand-qubit machine by 2023. ID Quantique has been producing commercial QKD equipment for more than five years.

India must procure such finished products and start testing them for security trapdoors before deploying them at home. Doing so requires us to train our engineers with state-of-the-art equipment as soon as possible.

In sum, indigenous development shouldnt be discontinued but allocating a large sum of money for indigenous development alone may not bring the desired results at this point.

By drafting a plan in the 2020 Union budget to spend Rs 8,000 crore, the government showed that it was farsighted. While the COVID-19 pandemic has made it hard to assess how much of this money has already been allocated, we can hope that there will be renewed interest in the matter as the pandemic fades.

This said, such a huge allocation going to academic institutes and research laboratories for trivial demonstrations might be imprudent. In addition, we must begin by analysing commercially available products, made by international developers, so we can secure Indias security infrastructure against quantum adversaries.

Serious science requires deep political thought, people with strong academic commitment in the government and productive short- as well as long-term planning. I hope the people in power will enable the Indian community of researchers to make this quantum leap.

Subhamoy Maitra is a senior professor at the Indian Statistical Institute, Kolkata. His research interests are cryptology and quantum computing.

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After the Govt's Big Allocation on Quantum Technologies in 2020, What Next? - The Wire Science

Colorado makes a bid for quantum computing hardware plant that would bring more than 700 jobs – The Denver Post

The Colorado Economic Development Commission normally doesnt throw its weight behind unproven startups, but it did so on Thursday, approving $2.9 million in state job growth incentive tax credits to try and land a manufacturing plant that will produce hardware for quantum computers.

Given the broad applications and catalytic benefits that this companys technology could bring, retaining this company would help position Colorado as an industry leader in next-generation and quantum computing, Michelle Hadwiger, the deputy director of the Colorado Office of Economic Development & International Trade, told commissioners.

Project Quantum, the codename for the Denver-based startup, is looking to create up to 726 new full-time jobs in the state. Most of the positions would staff a new facility making components for quantum computers, an emerging technology expected to increase computing power and speed exponentially and transform the global economy as well as society as a whole.

The jobs would carry an average annual wage of $103,329, below the wages other technology employers seeking incentives from the state have provided, but above the average annual wage of any Colorado county. Hadwiger said the company is also considering Illinois, Ohio and New York for the new plant and headquarters.

Quantum computing is going to be as important to the next 30 years of technology as the internet was to the past 30 years, said the companys CEO, who only provided his first name Corban.

He added that he loves Colorado and doesnt want to see it surpassed by states like Washington, New York and Illinois in the transformative field.

If we are smart about it, and that means doing something above and beyond, we can win this race. It will require careful coordination at the state and local levels. We need to do something more and different, he said.

The EDC also approved $2.55 million in job growth incentive tax credits and $295,000 in Location Neutral Employment Incentives for Nextworld, a growing cloud-based enterprise software company based in Greenwood Village. The funds are linked to the creation of 306 additional jobs, including 59 located in more remote parts of the state.

But in a rare case of dissent, Nextworlds CEO Kylee McVaney asked the commission to go against staff recommendations and provide a larger incentive package.

McVaney, daughter of legendary Denver tech entrepreneur Ed McVaney, said the companys lease is about to expire in Greenwood Village and most employees would prefer to continue working remotely. The company could save substantial money by not renewing its lease and relocating its headquarters to Florida, which doesnt have an income tax.

We could go sign a seven-year lease and stay in Colorado or we can try this new grand experiment and save $11 million, she said.

Hadwiger insisted that the award, which averages out to $9,500 per job created, was in line with the amount offered to other technology firms since the Colorado legislature tightened the amount the office could provide companies.

But McVaney said the historical average award per employee was closer to $18,000 and the median is $16,000 and that Colorado was not competitive with Florida given that states more favorable tax structure.

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Colorado makes a bid for quantum computing hardware plant that would bring more than 700 jobs - The Denver Post

How researchers are mapping the future of quantum computing, using the tech of today – GeekWire

Pacific Northwest National Laboratory computer scientist Sriram Krishnamoorthy. (PNNL Photo)

Imagine a future where new therapeutic drugs are designed far faster and at a fraction of the cost they are today, enabled by the rapidly developing field of quantum computing.

The transformation on healthcare and personalized medicine would be tremendous, yet these are hardly the only fields this novel form of computing could revolutionize. From cryptography to supply-chain optimization to advances in solid-state physics, the coming era of quantum computers could bring about enormous changes, assuming its potential can be fully realized.

Yet many hurdles still need to be overcome before all of this can happen. This one of the reasons the Pacific Northwest National Laboratory and Microsoft have teamed up to advance this nascent field.

The developer of the Q# programming language, Microsoft Quantum recently announced the creation of an intermediate bridge that will allow Q# and other languages to be used to send instructions to different quantum hardware platforms. This includes the simulations being performed on PNNLs own powerful supercomputers, which are used to test the quantum algorithms that could one day run on those platforms. While scalable quantum computing is still years away, these simulations make it possible to design and test many of the approaches that will eventually be used.

We have extensive experience in terms of parallel programming for supercomputers, said PNNL computer scientist Sriram Krishnamoorthy. The question was, how do you use these classical supercomputers to understand how a quantum algorithm and quantum architectures would behave while we build these systems?

Thats an important question given that classical and quantum computing are so extremely different from each other. Quantum computing isnt Classical Computing 2.0. A quantum computer is no more an improved version of a classical computer than a lightbulb is a better version of a candle. While you might use one to simulate the other, that simulation will never be perfect because theyre such fundamentally different technologies.

Classical computing is based on bits, pieces of information that are either off or on to represent a zero or one. But a quantum bit, or qubit, can represent a zero or a one or any proportion of those two values at the same time. This makes it possible to perform computations in a very different way.

However, a qubit can only do this so long as it remains in a special state known as superposition. This, along with other features of quantum behavior such as entanglement, could potentially allow quantum computing to answer all kinds of complex problems, many of which are exponential in nature. These are exactly the kind of problems that classical computers cant readily solve if they can solve them at all.

For instance, much of the worlds electronic privacy is based on encryption methods that rely on prime numbers. While its easy to multiply two prime numbers, its extremely difficult to reverse the process by factoring the product of two primes. In some cases, a classical computer could run for 10,000 years and still not find the solution. A quantum computer, on the other hand, might be capable of performing the work in seconds.

That doesnt mean quantum computing will replace all tasks performed by classical computers. This includes programming the quantum computers themselves, which the very nature of quantum behaviors can make highly challenging. For instance, just the act of observing a qubit can make it decohere, causing it to lose its superposition and entangled states.

Such challenges drive some of the work being done by Microsoft Azures Quantum group. Expecting that both classical and quantum computing resources will be needed for large-scale quantum applications, Microsoft Quantum has developed a bridge they call QIR, which stands for quantum intermediate representation. The motivation behind QIR is to create a common interface at a point in the programming stack that avoids interfering with the qubits. Doing this makes the interface both language- and platform-agnostic, which allows different software and hardware to be used together.

To advance the field of quantum computing, we need to think beyond just how to build a particular end-to-end system, said Bettina Heim, senior software engineering manager with Microsoft Quantum, during a recent presentation. We need to think about how to grow a global ecosystem that facilitates developing and experimenting with different approaches.

Because these are still very early days think of where classical computing was 75 years ago many fundamental components still need to be developed and refined in this ecosystem, including quantum gates, algorithms and error correction. This is where PNNLs quantum simulator, DM-SIM comes in. By designing and testing different approaches and configurations of these elements, they can discover better ways of achieving their goals.

As Krishnamoorthy explains: What we currently lack and what we are trying to build with this simulation infrastructure is a turnkey solution that could allow, say a compiler writer or a noise model developer or a systems architect, to try different approaches in putting qubits together and ask the question: If they do this, what happens?

Of course, there will be many challenges and disappointments along the way, such as an upcoming retraction of a 2018 paper in the journal, Nature. The original study, partly funded by Microsoft, declared evidence of a theoretical particle called a Majorana fermion, which could have been a major quantum breakthrough. However, errors since found in the data contradict that claim.

But progress continues, and once reasonably robust and scalable quantum computers are available, all kinds of potential uses could become possible. Supply chain and logistics optimization might be ideal applications, generating new levels of efficiency and energy savings for business. Since quantum computing should also be able to perform very fast searches on unsorted data, applications that focus on financial data, climate data analysis and genomics are likely uses, as well.

Thats only the beginning. Quantum computers could be used to accurately simulate physical processes from chemistry and solid-state physics, ushering in a new era for these fields. Advances in material science could become possible because well be better able to simulate and identify molecular properties much faster and more accurately than we ever could before. Simulating proteins using quantum computers could lead to new knowledge about biology that would revolutionize healthcare.

In the future, quantum cryptography may also become common, due to its potential for truly secure encrypted storage and communications. Thats because its impossible to precisely copy quantum data without violating the laws of physics. Such encryption will be even more important once quantum computers are commonplace because their unique capabilities will also allow them to swiftly crack traditional methods of encryption as mentioned earlier, rendering many currently robust methods insecure and obsolete.

As with many new technologies, it can be challenging to envisage all of the potential uses and problems quantum computing might bring about, which is one reason why business and industry need to become involved in its development early on. Adopting an interdisciplinary approach could yield all kinds of new ideas and applications and hopefully help to build what is ultimately a trusted and ethical technology.

How do you all work together to make it happen? asks Krishnamoorthy. I think for at least the next couple of decades, for chemistry problems, for nuclear theory, etc., well need this hypothetical machine that everyone designs and programs for at the same time, and simulations are going to be crucial to that.

The future of quantum computing will bring enormous changes and challenges to our world. From how we secure our most critical data to unlocking the secrets of our genetic code, its technology that holds the keys to applications, fields and industries weve yet to even imagine.

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How researchers are mapping the future of quantum computing, using the tech of today - GeekWire