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Formal verification of complex algorithms is challenging. Verifying their implementations goes beyond the state of the art of current automatic verification tools and usually involves intricate mathematical theorems. Certifying algorithms…

Logic in Computer Science · Computer Science 2013-02-01 Eyad Alkassar , Sascha Böhme , Kurt Mehlhorn , Christine Rizkallah

With the advent of delegated quantum computing as a service, verifying quantum computations is becoming a question of great importance. Existing information theoretically Secure Delegated Quantum Computing (SDQC) protocols require the…

Quantum Physics · Physics 2024-03-18 Elham Kashefi , Dominik Leichtle , Luka Music , Harold Ollivier

To successfully execute large-scale algorithms, a quantum computer will need to perform its elementary operations near perfectly. This is a fundamental challenge since all physical qubits suffer a considerable level of noise. Moreover, real…

Quantum Physics · Physics 2023-06-29 Armands Strikis , Simon C. Benjamin , Benjamin J. Brown

Implementing many important sub-circuits on near-term quantum devices remains a challenge due to the high levels of noise and the prohibitive depth on standard nearest-neighbour topologies. Overcoming these barriers will likely require…

Quantum Physics · Physics 2024-11-06 Angus Mingare , Anastasia Moroz , Marcell D Kovacs , Andrew G Green

Continuous-time quantum error correction (CTQEC) is an approach to protecting quantum information from noise in which both the noise and the error correcting operations are treated as processes that are continuous in time. This chapter…

Quantum Physics · Physics 2013-12-03 Ognyan Oreshkov

Quantum error correction is essential for reliable quantum computation, where surface codes demonstrate high fault-tolerant thresholds and hardware efficiency. However, noise in single-shot measurements limits logical readout fidelity,…

Quantum Physics · Physics 2025-05-13 Xiao-Yue Xu , Chen Ding , Wan-Su Bao

Quantum computing has considerable advantages in solving some problems over its classical counterpart. Currently various physical systems are developed to construct quantum computers but it is still challenging and the first use of quantum…

Quantum Physics · Physics 2022-10-19 Junyu Quan , Qin Li , Lvzhou Li

Quantum computers show promise to solve select problems otherwise intractable on classical computers. However, noisy intermediate-scale quantum (NISQ) era devices are currently prone to various sources of error. Quantum error correction…

Quantum Physics · Physics 2026-02-25 Maxwell Poster , Sayam Sethi , Jonathan Baker

Stabilizer states are a central resource in quantum information processing, underpinning a wide range of applications. While they can be efficiently generated via Clifford circuits, the presence of coherent errors, such as small-angle…

Quantum Physics · Physics 2025-10-24 Giovanni Di Bartolomeo , Giulio Crognaletti , Angelo Bassi , Michele Vischi

Recently, we proposed a simultaneous quantum and classical communication (SQCC) protocol, where random numbers for quantum key distribution (QKD) and bits for classical communication are encoded on the \emph{same} weak coherent pulse, and…

Quantum Physics · Physics 2018-05-16 Bing Qi , Charles Ci Wen Lim

Large-scale quantum computing is a significant threat to classical public-key cryptography. In strong "quantum access" security models, numerous symmetric-key cryptosystems are also vulnerable. We consider classical encryption in a model…

Quantum Physics · Physics 2021-05-14 Gorjan Alagic , Stacey Jeffery , Maris Ozols , Alexander Poremba

Continuous variable quantum cryptography has developed rapidly in recent decades, but how to verify identity in the continuous variable quantum system is still an urgent issue to be solved. To solve this problem, we propose a continuous…

Quantum Physics · Physics 2022-03-17 Xing-Qiang Zhao , Hai Wan , Lv-Zhou Li

With the rapid advances in quantum computer architectures and the emerging prospect of large-scale quantum memory, it is becoming essential to classically verify that remote devices genuinely allocate the promised quantum memory with…

Quantum Physics · Physics 2025-10-07 Minki Hhan , Tomoyuki Morimae , Yasuaki Okinaka , Takashi Yamakawa

Quantum computers are expected to bring drastic acceleration to several computing tasks against classical computers. Noisy intermediate-scale quantum (NISQ) devices, which have tens to hundreds of noisy physical qubits, are gradually…

Quantum Physics · Physics 2024-08-28 Yutaro Akahoshi , Kazunori Maruyama , Hirotaka Oshima , Shintaro Sato , Keisuke Fujii

Quantum computers are anticipated to transcend classical supercomputers for computationally intensive tasks by exploiting the principles of quantum mechanics. However, the capabilities of the current generation of quantum devices are…

Quantum Physics · Physics 2022-06-17 Shaobo Zhang , Charles D. Hill , Muhammad Usman

The impending arrival of cryptographically relevant quantum computers (CRQCs) threatens the security foundations of modern software: Shor's algorithm breaks RSA, ECDSA, ECDH, and Diffie-Hellman, while Grover's algorithm reduces the…

Cryptography and Security · Computer Science 2026-05-19 Animesh Shaw

We present a step towards the goal of producing a general cryptographic 'compilation' procedure which can translate any entangled nonlocal game into a single-prover interactive protocol while preserving quantum completeness and soundness,…

Quantum Physics · Physics 2023-05-19 Anand Natarajan , Tina Zhang

While recent progress in quantum hardware open the door for significant speedup in certain key areas, quantum algorithms are still hard to implement right, and the validation of such quantum programs is a challenge. Early attempts either…

Programming Languages · Computer Science 2022-02-04 Christophe Chareton , Sébastien Bardin , François Bobot , Valentin Perrelle , Benoit Valiron

The performance of a given quantum error correction (QEC) code depends upon the noise model that is assumed. Independent Pauli noise, applied after each quantum operation, is a simplistic noise model that is easy to simulate and understand…

Quantum Physics · Physics 2026-03-04 Wayne M. Witzel , Anand Ganti , Tzvetan S. Metodi

Quantum algorithms are known for providing more efficient solutions to certain computational tasks than any corresponding classical algorithm. Here we show that a single qudit is sufficient to implement an oracle based quantum algorithm,…