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As quantum processors grow, new performance benchmarks are required to capture the full quality of the devices at scale. While quantum volume is an excellent benchmark, it focuses on the highest quality subset of the device and so is unable…

This paper concerns the problem of checking if two shallow (i.e., constant-depth) quantum circuits perform equivalent computations. Equivalence checking is a fundamental correctness question -- needed, e.g., for ensuring that…

Quantum Physics · Physics 2025-04-03 Nengkun Yu , Xuan Du Trinh , Thomas Reps

Current superconducting quantum devices impose strict connectivity constraints on quantum circuit execution, necessitating circuit transformation before executing quantum circuits on physical hardware. Numerous quantum circuit…

Quantum Physics · Physics 2024-12-24 Sanjiang Li , Xiangzhen Zhou , Yuan Feng

Mapping a quantum algorithm to any practical large-scale quantum computer will require a sequence of compilations and optimizations. At the level of fault-tolerant encoding, one likely requirement of this process is the translation into a…

Quantum Physics · Physics 2020-11-13 Michael Hanks , Marta P. Estarellas , William J. Munro , Kae Nemoto

We introduce an efficient tensor network toolbox to compute the low-energy excitations of large-scale superconducting quantum circuits up to a desired accuracy. We benchmark this algorithm on the fluxonium qubit, a superconducting quantum…

Quantum Physics · Physics 2021-10-26 Agustin Di Paolo , Thomas E. Baker , Alexandre Foley , David Sénéchal , Alexandre Blais

IBM has made several quantum computers available to researchers around the world via cloud services. Two architectures with five qubits, one with 16, and one with 20 qubits are available to run experiments. The IBM architectures implement…

Emerging Technologies · Computer Science 2022-06-10 Gerhard W. Dueck , Anirban Pathak , Md Mazder Rahman , Abhishek Shukla , Anindita Banerjee

We propose an efficient scheme for verifying quantum computations in the `high complexity' regime i.e. beyond the remit of classical computers. Previously proposed schemes remarkably provide confidence against arbitrarily malicious…

Quantum Physics · Physics 2017-05-24 Richard Jozsa , Sergii Strelchuk

We investigate the prospects of employing the linear cross-entropy to experimentally access measurement-induced phase transitions (MIPT) without requiring any postselection of quantum trajectories. For two random circuits that are identical…

Quantum Physics · Physics 2023-06-08 Yaodong Li , Yijian Zou , Paolo Glorioso , Ehud Altman , Matthew P. A. Fisher

Quantum error correction (QEC) is essential for building scalable quantum computers, but a lack of systematic, end-to-end evaluation methods makes it difficult to assess how different QEC codes perform under realistic conditions. The vast…

Quantum Physics · Physics 2025-11-04 Aleksandra Świerkowska , Jannik Pflieger , Emmanouil Giortamis , Pramod Bhatotia

Quantum noise in real-world devices poses a significant challenge in achieving practical quantum advantage, since accurately compiled and executed circuits are typically deep and highly susceptible to decoherence. To facilitate the…

Quantum Physics · Physics 2025-06-13 Yuchen Guo , Shuo Yang

Mapping quantum error correcting codes to classical disordered statistical mechanics models and studying the phase diagram of the latter has proven a powerful tool to study the fundamental error robustness and associated critical error…

Quantum Physics · Physics 2022-01-12 Davide Vodola , Manuel Rispler , Seyong Kim , Markus Müller

Machine learning has been extensively applied for classical software testing activities such as test generation, minimization, and prioritization. Along the same lines, there has been interest in applying quantum machine learning to…

Randomized benchmarking (RB) is the gold standard for experimentally evaluating the quality of quantum operations. The current framework for RB is centered on groups and their representations, but this can be problematic. For example,…

Quantum Physics · Physics 2022-12-22 Jianxin Chen , Dawei Ding , Cupjin Huang

Quantum circuit simulation provides the foundation for the development of quantum algorithms and the verification of quantum supremacy. Among the various methods for quantum circuit simulation, tensor network contraction has been increasing…

Quantum Physics · Physics 2023-07-11 Hiroyuki Ootomo , Hidetaka Manabe , Kenji Harada , Rio Yokota

We show that quantum circuits cannot be made fault-tolerant against a depolarizing noise level of approximately 45%, thereby improving on a previous bound of 50% (due to Razborov). Our precise quantum circuit model enables perfect gates…

Quantum Physics · Physics 2007-05-23 Harry Buhrman , Richard Cleve , Monique Laurent , Noah Linden , Alexander Schrijver , Falk Unger

We propose a method for learning a quantum probabilistic model of a perceptron. By considering a cross entropy between two density matrices we can learn a model that takes noisy output labels into account while learning. A multitude of…

Quantum Physics · Physics 2023-09-11 Roeland Wiersema , H. J. Kappen

Quantum simulation of fermionic Hamiltonians is a leading application of quantum computing, but accurate execution on present-day hardware is limited by error accumulation in deep Trotter circuits. We present a device-matched…

Realizing the potential of quantum computing will require achieving sufficiently low logical error rates. Many applications call for error rates in the $10^{-15}$ regime, but state-of-the-art quantum platforms typically have physical error…

Quantum Physics · Physics 2022-07-19 Zijun Chen , Kevin J. Satzinger , Juan Atalaya , Alexander N. Korotkov , Andrew Dunsworth , Daniel Sank , Chris Quintana , Matt McEwen , Rami Barends , Paul V. Klimov , Sabrina Hong , Cody Jones , Andre Petukhov , Dvir Kafri , Sean Demura , Brian Burkett , Craig Gidney , Austin G. Fowler , Harald Putterman , Igor Aleiner , Frank Arute , Kunal Arya , Ryan Babbush , Joseph C. Bardin , Andreas Bengtsson , Alexandre Bourassa , Michael Broughton , Bob B. Buckley , David A. Buell , Nicholas Bushnell , Benjamin Chiaro , Roberto Collins , William Courtney , Alan R. Derk , Daniel Eppens , Catherine Erickson , Edward Farhi , Brooks Foxen , Marissa Giustina , Jonathan A. Gross , Matthew P. Harrigan , Sean D. Harrington , Jeremy Hilton , Alan Ho , Trent Huang , William J. Huggins , L. B. Ioffe , Sergei V. Isakov , Evan Jeffrey , Zhang Jiang , Kostyantyn Kechedzhi , Seon Kim , Fedor Kostritsa , David Landhuis , Pavel Laptev , Erik Lucero , Orion Martin , Jarrod R. McClean , Trevor McCourt , Xiao Mi , Kevin C. Miao , Masoud Mohseni , Wojciech Mruczkiewicz , Josh Mutus , Ofer Naaman , Matthew Neeley , Charles Neill , Michael Newman , Murphy Yuezhen Niu , Thomas E. O'Brien , Alex Opremcak , Eric Ostby , Bálint Pató , Nicholas Redd , Pedram Roushan , Nicholas C. Rubin , Vladimir Shvarts , Doug Strain , Marco Szalay , Matthew D. Trevithick , Benjamin Villalonga , Theodore White , Z. Jamie Yao , Ping Yeh , Adam Zalcman , Hartmut Neven , Sergio Boixo , Vadim Smelyanskiy , Yu Chen , Anthony Megrant , Julian Kelly

Superconducting qubit parameters drift on sub-second timescales, motivating calibration and benchmarking techniques that can be executed on millisecond timescales. We demonstrate an on-FPGA workflow that co-locates pulse generation, data…

As quantum computing advances toward the late-NISQ and early fault-tolerant eras, scalable and platform-independent benchmarks are essential for quantifying computational capacity in a classically verifiable manner. We introduce two…

Quantum Physics · Physics 2025-12-23 Attila Portik , Orsolya Kálmán , Thomas Monz , Zoltán Zimborás
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