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There is a tremendous interest in fabricating superconducting flux circuits that are nonstoquastic -- i.e., have positive off-diagonal matrix elements -- in their qubit representation, as these circuits are thought to be unsimulable by…

Quantum Physics · Physics 2026-01-15 Harel Kol-Namer , Tom Halverson , Lalit Gupta , Moshe Goldstein , Itay Hen

In breakthrough work, Bravyi, Gosset, and K\"{o}nig (BGK) [Science, 2018] unconditionally proved that constant depth quantum circuits are more powerful than their classical counterparts. Their result is equivalent to saying that a…

Quantum Physics · Physics 2022-12-23 Daochen Wang

Inferential models (IMs) represent a novel possibilistic approach for achieving provably valid statistical inference. This paper introduces a general framework for fusing independent IMs in a "black-box" manner, requiring no knowledge of…

Statistics Theory · Mathematics 2024-05-14 Leonardo Cella

We consider quantum computations comprising only commuting gates, known as IQP computations, and provide compelling evidence that the task of sampling their output probability distributions is unlikely to be achievable by any efficient…

Quantum Physics · Physics 2010-11-17 Michael J. Bremner , Richard Jozsa , Dan J. Shepherd

We prove that the subset sum problem has a polynomial time computable certificate of infeasibility for all $a$ weight vectors with density at most $1/(2n)$ and for almost all integer right hand sides. The certificate is branching on a…

Computational Complexity · Computer Science 2008-08-10 Gabor Pataki , Mustafa Tural

Approximate circuits often achieve exceptional trade-offs between computational accuracy and hardware efficiency, making them attractive for deployment as reusable Intellectual Property (IP) cores. However, safeguarding such circuits…

Hardware Architecture · Computer Science 2026-05-12 Lukas Sekanina , Vojtech Mrazek

One of the simplest security proofs of quantum key distribution is based on the so-called complementarity scenario, which involves the complementarity control of an actual protocol and a virtual protocol [M. Koashi, e-print arXiv:0704.3661…

Quantum Physics · Physics 2015-05-18 Kiyoshi Tamaki , Go Kato

Boson sampling, a computational task believed to be classically hard to simulate, is expected to hold promise for demonstrating quantum computational advantage using near-term quantum devices. However, noise in experimental implementations…

Quantum Physics · Physics 2026-03-17 Byeongseon Go , Changhun Oh , Hyunseok Jeong

We study the round complexity of secure multi-party computation (MPC) in the post-quantum regime. Our focus is on the fully black-box setting, where both the construction and security reduction are black-box. Chia, Chung, Liu, and Yamakawa…

Quantum Physics · Physics 2025-02-20 Rohit Chatterjee , Xiao Liang , Omkant Pandey , Takashi Yamakawa

The inherent irreversibility of quantum dynamics for open systems poses a significant barrier to the inversion of unknown quantum processes. To tackle this challenge, we propose the framework of virtual combs that exploit the unknown…

Quantum Physics · Physics 2024-07-23 Chengkai Zhu , Yin Mo , Yu-Ao Chen , Xin Wang

In this paper a storage method and a context-aware circuit simulation idea are presented for the sum of block diagonal matrices. Using the design technique for a generalized circuit for the Hamiltonian dynamics through the truncated series,…

Quantum Physics · Physics 2019-10-24 Ammar Daskin , Teng Bian , Rongxin Xia , Sabre Kais

The recent discovery of fully-homomorphic classical encryption schemes has had a dramatic effect on the direction of modern cryptography. Such schemes, however, implicitly rely on the assumptions that solving certain computation problems…

Quantum Physics · Physics 2018-10-31 Yingkai Ouyang , Si-Hui Tan , Joseph Fitzsimons

Blind quantum computation is a new quantum secure protocol, which enables Alice who does not have enough quantum technology to delegate her computation to Bob who has a fully-fledged quantum power without revealing her input, output and…

Quantum Physics · Physics 2013-06-07 Takahiro Sueki , Takeshi Koshiba , Tomoyuki Morimae

The task of privacy amplification, in which Alice holds some partially secret information with respect to an adversary Eve and wishes to distill it until it is completely secret, is known to be solvable almost optimally both in the…

Quantum Physics · Physics 2025-06-09 Rotem Arnon , Amnon Ta-Shma

We prove that it is impossible to construct perfect-complete quantum public-key encryption (QPKE) with classical keys from quantumly secure one-way functions (OWFs) in a black-box manner, resolving a long-standing open question in quantum…

Quantum Physics · Physics 2025-04-09 Longcheng Li , Qian Li , Xingjian Li , Qipeng Liu

This work presents a precise connection between Clifford circuits, Shor's factoring algorithm and several other famous quantum algorithms with exponential quantum speed-ups for solving Abelian hidden subgroup problems. We show that all…

Quantum Physics · Physics 2014-09-18 Juan Bermejo-Vega , Cedric Yen-Yu Lin , Maarten Van den Nest

Assuming that the Permanent polynomial requires algebraic circuits of exponential size, we show that the class VNP does not have efficiently computable equations. In other words, any nonzero polynomial that vanishes on the coefficient…

Computational Complexity · Computer Science 2024-02-29 Mrinal Kumar , C. Ramya , Ramprasad Saptharishi , Anamay Tengse

Many cybersecurity attacks rely on analyzing a binary executable to find exploitable sections of code. Code obfuscation is used to prevent attackers from reverse engineering these executables. In this work, we focus on control flow…

Cryptography and Security · Computer Science 2019-08-28 Novak Boskov , Mihailo Isakov , Michel A. Kinsy

As machine learning black boxes are increasingly being deployed in domains such as healthcare and criminal justice, there is growing emphasis on building tools and techniques for explaining these black boxes in an interpretable manner. Such…

Machine Learning · Computer Science 2020-02-04 Dylan Slack , Sophie Hilgard , Emily Jia , Sameer Singh , Himabindu Lakkaraju

As quantum computers improve in the number of qubits and fidelity, the question of when they surpass state-of-the-art classical computation for a well-defined computational task is attracting much attention. The leading candidate task for…

Quantum Physics · Physics 2021-01-05 Igor L. Markov , Aneeqa Fatima , Sergei V. Isakov , Sergio Boixo