#Topological Quantum Computer

[sohaibsmart]

Amazon execs doubt Microsoft's quantum computing breakthrough

In This Story Final month, Microsoft (MSFT-1.51%) introduced that it created a brand new state of matter for its first quantum computing chip — a declare that Amazon (AMZN-1.15%) is reportedly not offered on. Trump freezes his 25% tariffs on Mexican imports for one month The identical day that Microsoft unveiled its Majorana 1 quantum computing chip, Amazon’s head of quantum applied sciences,…

[averycanadianfilm]

A discussion with Sankar Das Sarma and Chetan Nayak

Mar 14, 2022

Dr. Sankar Das Sarma, a Distinguished University Professor of physics at University of Maryland joins Chetan Nayak, Distinguished Engineer of Quantum at Microsoft to discuss Microsoft’s unique approach to building a fully scalable quantum machine.

[onlytiktoks]

https://www.wsj.com/science/physics/microsoft-quantum-computing-physicists-skeptical-d3ec07f0

[frank-olivier]

The Topological Advantage: How Anyons Are Changing Quantum Computing

The field of quantum computing has experienced a significant paradigm shift in recent years, with the emergence of topological quantum computing as a promising approach to building practical quantum computers. At the heart of this new paradigm is the concept of anyons, quasiparticles that exhibit non-Abelian statistics in two-dimensional spaces. First proposed by physicist Frank Wilczek in 1982, anyons have been extensively studied and experimentally confirmed in various systems.

The discovery of anyons and their unique properties has opened up new avenues for quantum computing, enabling the development of fault-tolerant quantum gates and scalable quantum systems. The topological properties of anyons make them well-suited for creating stable qubits, the fundamental units of quantum information. The robustness of these qubits stems from their topological characteristics, which are less susceptible to errors caused by environmental disturbances.

One of the most significant advantages of topological quantum computing is its inherent error resistance. The robust nature of anyonic systems minimizes sensitivity to local perturbations, reducing the need for complex error correction codes and facilitating scalability. Michael Freedman and colleagues first demonstrated this concept in 2003, and it has since been extensively studied.

The manipulation of anyons through braiding, where anyons are moved around each other in specific patterns, implements quantum gates that are inherently fault-tolerant. This concept was first introduced by Alexei Kitaev in 1997, and has since been extensively studied. The topological nature of braiding ensures that operations are resistant to errors, as they rely only on the topology of the braiding path, not its precise details.

Topological quantum computing has far-reaching potential applications, with significant implications for cryptography, material science, and quantum simulations. Topological quantum computing enables enhanced security protocols, insights into novel states of matter, and more efficient simulations of complex quantum systems.

Prof. Steve Simon: Topological Quantum Computing (University of Waterloo, June 2012)

Part 1

Part 2

Tuesday, October 8, 2024

[govindhtech]

Jones Polynomial: Quantum Hardware Performance Evaluation

A Tangled Benchmark: Jones Polynomial Quantum Hardware Scale Testing.

Quantum field theory and Jones polynomial

Quantinuum researchers devised an end-to-end quantum algorithm to estimate the Jones polynomial on the H2-2 quantum computer using hardware-aware optimisations and error-mitigation approaches.

The technique's Fibonacci braid representation and concentration on a DQC1-complete knot theory issue may provide it a quantum edge over more generic BQP formulations.

The researchers generated topologically identical braids with known polynomial values to provide a verifiable baseline for error analysis across noise models and circuit sizes.

Their findings suggest that quantum techniques may outperform classical methods for cases with over 2,800 braid crossings and gate fidelities above 99.99%.

Find a quantum edge where? Despite technology's constant change, engineers return to some issues. Instead of trying to fit the answer into a quantum machine, we may save time and effort by seeking for issues naturally connected to quantum physics and finding areas where quantum is more likely to be discovered.

A good example is topology. Quantinuum's worldview emphasises creating quantum research in physics-native, demonstrable topics. As opted to display progress step-by-step and not signal an untestable future.

We have lead the field in gate fidelities (across all zones), logical qubits, the first topological qubit, modelling the Icing model, validated RCS, and the first quantum processor beyond classical simulation during the last year. New Jones polynomials work contrasts theoretical complexity with hardware readiness, maintaining this trend.

In a new arXiv paper, Quantinuum researchers offer an end-to-end quantum method for calculating the Jones polynomial of knots, a knot theory root issue and putative quantum advantage discovery site. Real-world implementation of a quantum-native issue on Quantinuum's H2-2 quantum computer shows hardware-specific optimisations and algorithmic advances. The authors say this is more than a benchmark since it provides a framework for carefully finding and assessing near-term quantum advantage.

Knot Invariants to Quantum Circuits

Jones polynomials are topological invariants that assign polynomials to knots or links without deformation. Traditional approaches are computationally expensive, especially for knots with hundreds or thousands of crossings.

It has deep theoretical roots. Over twenty years ago, approximating the Jones polynomial at specified roots of unity was shown to be complete for complexity classes like BQP (bounded-error quantum polynomial time) and DQC1 (deterministic quantum computing with one clean qubit). In other words, quantum circuits are suited for this task. The study team says that the DQC1 version, based on Markov-closed braids, is advantageous since it requires “less quantum” resources but is harder for classical algorithms.

The Quantinuum technique implements both DQC1- and BQP-complete versions utilising the Fibonacci representation of braiding, a model that is roughly universal for quantum computing, using the fifth root of unity as the evaluation point.

Fully Compiled, Hardware-Optimized Pipeline

Using hardware-aware methods, the authors avoid generic circuit templates. A control-free, echo-verified Hadamard test is employed in their implementation. This optimised version reduces shot noise and two-qubit gates, the major source of error on most systems. The quantum circuit simulates a braid of three-qubit gates working on Fibonacci strings, selecting base states.

The team uses pairs of topologically connected circuits to avoid systematic phase shifts to solve coherence and phase defects with the "conjugate trick." They also use Fibonacci subspace structure to discover errors that delete samples that differ from predicted measurement symmetries.

Together, these optimisations allow researchers to scale up problem instances on NISQ devices beyond what was previously thought possible. With 4,000 shots per circuit and demonstrable error mitigation improvements, they analysed a 16-qubit, 340 two-qubit gate circuit representing a knot with 104 crossings in one demonstration.

Built-In Verification Benchmarking

An easily verifiable benchmark was a highlight of the endeavour. Since the Jones polynomial is link invariant, any two topologically similar braids must provide the same result. The researchers produced topologically identical braids with varied depths and diameters and compared the quantum and classical output to a specified value. This lets you study error scaling in connection to noise model, gate depth, and circuit size.

Less Quantum, More Benefit

The paper's fascinating title, ���Less Quantum, More Advantage,” suggests a shift. Instead than chasing quantum advantage in the most powerful or generic forms, the team tackles a theoretically meaningful and classically tough problem that can be addressed with moderate quantum resources. They believe that the DQC1 version of the Jones polynomial yields better results than BQP while being less expressive.

A new Nature article on the study's “mind-blowing” knot theory-quantum physics relationship supports this perspective. Konstantinos Meichanetzidis of Quantinuum, who worked on this new study, highlighted how knot invariants may be employed as computational objectives and intrinsic accuracy checks in quantum hardware. Two circuits with the same knot representations indicate the algorithm is working.

As quantum computing moves beyond toy problems and hand-picked examples, verified and classically demanding benchmarks are needed. The paper asserts that the Jones polynomial is unique in its theoretical complexity, real-world application, and quantum architectural compatibility.

Instead of claiming supremacy today, the authors present a scholarly and transparent evaluation of when, how, and under what conditions a quantum algorithm may surpass traditional techniques. This is a substantial contribution that increases our knowledge of practical quantum advantage.

[manmishra]

🚀💻 Microsoft Unveils Majorana 1 Quantum Processor! 💡⚛️ A giant leap in Quantum Computing with Topological Qubits! 🌌🧠 ✅ Faster Processing ⚡ ✅ Fewer Errors 🛡️ ✅ Scalable Quantum Power 💽 This could revolutionize AI 🤖, Healthcare 💊, Cybersecurity 🔐, and more! 💯🔥 👉 Are we stepping into a Quantum Future? 🤯🔮 #Microsoft #QuantumComputing #FutureTech #AI #Majorana1 💻⚛️

[diagnozabam]

Microsoft lansează Majorana 1: Primul procesor cuantic bazat pe qubiți topologici

Pe 19 februarie, Microsoft a făcut un anunț revoluționar în domeniul tehnologiei cuantice: lansarea Majorana 1, primul procesor cuantic din lume bazat pe qubiți topologici. Acest procesor utilizează fermioni Majorana, particule speciale care sunt, în esență, atât particule, cât și antiparticule. Aceste descoperiri deschid un nou capitol în cursa pentru dezvoltarea calculatoarelor cuantice…

[mindblowingscience]

An international team led by Rutgers University-New Brunswick researchers has merged two lab-synthesized materials into a synthetic quantum structure once thought impossible to exist and produced an exotic structure expected to provide insights that could lead to new materials at the core of quantum computing. The work, described in a cover story in the journal Nano Letters, explains how four years of continuous experimentation led to a novel method to design and build a unique, tiny sandwich composed of distinct atomic layers. One slice of the microscopic structure is made of dysprosium titanate, an inorganic compound used in nuclear reactors to trap radioactive materials and contain elusive magnetic monopole particles, while the other is composed of pyrochlore iridate, a new magnetic semimetal mainly used in today's experimental research due to its distinctive electronic, topological and magnetic properties.

Continue Reading.

[ronaldvanloonn]

World’s First Quantum Processor With Topological Qubits

Quantum computing just hit a new milestone! Microsoft’s Majorana 1 is the first quantum processor powered by topological qubits, designed to scale up to a million qubits. We’re moving from theory to reality – fast. Watch now! Learn more: https://bit.ly/3EKFVuD #MSFTAmbassador @Microsoft #Microsoft #QuantumReady #MicrosoftQuantum #QuantumComputing from Ronald van Loon…

[questioning-my-identity-element]

as someone with a passing knowledge of knot theory & a dilettante interest in math I'm really interested in the behavior/rules of those graphs, could you talk a little more about them?

this is my first ask! and it's on my research!!! i still do research in this area. i am getting my phd in topological quantum computation. i saw someone else talk about categorical quantum in response to the post. as i understand, this is a related but distinct field from quantum algebra, despite both using monoidal categories as a central focus.

if you're familiar with knot theory, you may have heard of the jones polynomial. jones is famous for many things, but one of which is his major contributions to the use of skein theory (this graphical calculus) in quantum algebra, subfactor theory, and more.

For an reu, i made an animation of how these diagrams, mostly for monoidal categories, work:

https://people.math.osu.edu/penneys.2/Synoptic.mp4

to add onto the video, in quantum algebra, we deal a lot with tensor categories, where the morphisms between any two objects form a vector space. in particular, since these diagrams are representing morphisms, it makes sense to take linear combinations, which is what we saw in the post. moreover, any relationships you have between morphisms in a tensor category, can be captured in these diagrams...for example, in the fusion category Fib, the following rules apply (in fact, these rules uniquely describe Fib):

thus, any time, these show up in your diagrams, you can replace them with something else. in general, this is a lot easier to read than commutative diagrams.

[crazy-pages]

What degree do you have???? If you don't mind answering

I have a Bachelor of Physics and a Master of Optical Science. I was also a PhD Candidate in the optical sciences, specifically quantum optical computing and computation. This means I am A) a jack of all trades, B) specifically a light nerd, C) more specifically a light nerd about the kind of light that makes other light nerds' eyes glaze over. I also took a bit of a detour learning about Differential Geometry and Topological Algebra, whose physics applications are respectively black holes and topologically protected states (glitches in the matrix which ignore certain inconvenient parts of reality).

Also Topological Algebra happens to have the most gorgeously simple and powerful way of solving simple RLC electrical circuits I've ever seen. It's faster than the usual method and also how you solve this problem. Unfortunately it takes some 5-10 years of math education past calculus to learn, otherwise it should absolutely replace the usual methods.

Anyway, I Mastered out of my PhD program because, long story short, academia has absolutely nothing in the way of labor protections. And advisors aren't actually required to, you know, advise their students. I was alternatively cut loose with no support and then abused badly enough by an advisor that I was having panic attacks as I went to work each morning. So I decided enough was enough, got my Masters, and left.

Serious advice kids: Absolutely do not enter a PhD program unless you A) have an external backer who will protect you and your interests (like a company that's putting you through your PhD while you work for them part-time), B) are able and willing to cut your losses and sink several years of work if things go south.

It's not about how hard the work is, it's a labor rights thing. As a PhD student, you have none and the degree of abuse you can be subjected without recourse to is extreme. You should not sign up for a PhD without those assurances for literally the exact same reasons you don't sell yourself into indentured servitude. It's simply not a safe thing to do.

[materialsscienceandengineering]

Scientists merge two 'impossible' materials into new artificial structure

An international team led by Rutgers University-New Brunswick researchers has merged two lab-synthesized materials into a synthetic quantum structure once thought impossible to exist and produced an exotic structure expected to provide insights that could lead to new materials at the core of quantum computing. The work, described in a cover story in the journal Nano Letters, explains how four years of continuous experimentation led to a novel method to design and build a unique, tiny sandwich composed of distinct atomic layers. One slice of the microscopic structure is made of dysprosium titanate, an inorganic compound used in nuclear reactors to trap radioactive materials and contain elusive magnetic monopole particles, while the other is composed of pyrochlore iridate, a new magnetic semimetal mainly used in today's experimental research due to its distinctive electronic, topological and magnetic properties.

Read more.

[minmin-vs-physics]

Min vs FA24

Now that I'm officially a college senior, I thought a post of what I will be up to is in order. (Especially since I was absconding last week) Gonna take some hard hitters for classes this semester, pray for me.

Intro to General Relativity: FINALLY. I've been waiting for this since before I was a physics major. I know it's gonna be good since my QM prof from last sem is teaching it. (Lowkey wanna switch to the grad version because my QM prof from last sem is teaching it)

Relativistic Quantum Field Theory: Another scary class but still highly anticipated! I've basically been doing QFT all summer, but the class is scarier because formalism. Of course, it will unlock some doors in particle theory.

Statistical Thermodynamics: lowkey im most nervous about this one. another beast of a topic in physics and i rlly want to learn it but idk we don't talk abt it much??? (except abt how much we're dreading it) the whole cohort will come together for this one.

Intro to Sociocultural Anthropology: always gotta throw one curveball in the schedule. not much to say bc im just taking it for a gen ed req.

Computational Physics: I should drop this bc taking four physics classes in grad apps season is kinda overkill. i wanted the lightest sem i could make but still ended up w this kraken. but no math class! (i had to pry out topology) this is the first and only semester i won't have a math class. in addition to courseload i also have

TAing for a CS class: ik my way around it so its not a problem but its still a time sink

TAing for a QM class: this is smth i def just do for the love of it, so another time sink basically but i look forward to it

Research: gotta work on that thesis y'all. i wanna make smth good out of it in time.

Physics GRE: broccoli on my plate

Grad Apps: waking nightmare. but it'll be fine i can drop out and become a finance bro.

but i also wanna make memories with all the other seniors because what? how are we seniors? (im writing this after going stargazing with my friends on a school night.)

[loozerboykisser]

In the era of hyperconverged intelligence, quantum-entangled neural architectures synergize with neuromorphic edge nodes to orchestrate exabyte-scale data torrents, autonomously curating context-aware insights with sub-millisecond latency. These systems, underpinned by photonic blockchain substrates, enable trustless, zero-knowledge collaboration across decentralized metaverse ecosystems, dynamically reconfiguring their topological frameworks to optimize for emergent, human-AI symbiotic workflows. By harnessing probabilistic generative manifolds, such platforms transcend classical computational paradigms, delivering unparalleled fidelity in real-time, multi-modal sensemaking. This convergence of cutting-edge paradigms heralds a new epoch of cognitive augmentation, where scalable, self-sovereign intelligence seamlessly integrates with the fabric of post-singularitarian reality.

Are you trying to make me feel stupid /silly

[darkmaga-returns]

Microsoft CEO Satya Nadella announced that his company has developed an “entirely new state of matter” that will fundamentally change the computing industry.

Nadella made the claim Wednesday on X, saying that the discovery would power a new Microsoft product making a meaningful quantum computer available “not in decades, as some have predicted, but in years.”

Nadella added, “Imagine a chip that can fit in the palm of your hand yet is capable of solving problems that even all the computers on Earth today combined could not!”

According to The Washington Times, “Quantum computers are expected to solve problems exponentially faster than classical computers through the forthcoming machines’ usage of the properties of entanglement, interference, and superposition to complete calculations.”

Nadella stated:

“Most of us grew up learning there are three main types of matter that matter: solid, liquid, and gas. Today, that changed. After a nearly 20-year pursuit, we’ve created an entirely new state of matter, unlocked by a new class of materials, topoconductors, that enable a fundamental leap in computing.”

The new state of matter is “topological,” according to Microsoft.

[the-framed-maelstrom]

The state of exception is not merely a disruption of spacetime coordinates but a complex topological configuration—a manifold where the distinction between the exceptional state (e.g., noise or decoherence) and the rule (e.g., coherent quantum evolution), as well as the state of nature (e.g., unencoded physical qubits) and law (e.g., fault-tolerant logical qubits), or outside (e.g., local perturbations) and inside (e.g., global topological protection), become braided into one another. This topological zone of indistinction—where non-Abelian anyons entwine error and stability into a unified braid, obscured from classical computational scrutiny—must be precisely captured and analyzed under our theoretical and experimental gaze to realize fault-tolerant quantum computation.

Giorgio Agamben: The Logic of Sovereignty (Alexei Kitaev Narration)