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The widely held belief that BQP strictly contains BPP raises fundamental questions: if we cannot efficiently compute predictions for the behavior of quantum systems, how can we test their behavior? In other words, is quantum mechanics…

Quantum Physics · Physics 2017-04-17 Dorit Aharonov , Michael Ben-Or , Elad Eban , Urmila Mahadev

Verifiable blind quantum computing allows a client with poor quantum devices to delegate universal quantum computing to a remote quantum server in such a way that the client's privacy is protected and the honesty of the server is verified.…

Quantum Physics · Physics 2017-11-15 Yuki Takeuchi , Keisuke Fujii , Tomoyuki Morimae , Nobuyuki Imoto

Mahadev [SIAM J. Comput. 2022] introduced the first protocol for classical verification of quantum computation based on the Learning-with-Errors (LWE) assumption, achieving a 4-message interactive scheme. This breakthrough naturally raised…

Quantum Physics · Physics 2026-02-23 Mohammed Barhoush , Tomoyuki Morimae , Ryo Nishimaki , Takashi Yamakawa

Given a ciphertext, is it possible to prove the deletion of the underlying plaintext? Since classical ciphertexts can be copied, clearly such a feat is impossible using classical information alone. In stark contrast to this, we show that…

Quantum Physics · Physics 2021-01-20 Anne Broadbent , Rabib Islam

Quantum Key Distribution (QKD) protocols rely on authenticated classical communication. Typical QKD security proofs are carried out in an idealized setting where authentication is assumed to behave honestly: it never aborts, and all…

Quantum Physics · Physics 2026-01-27 Devashish Tupkary , Shlok Nahar , Ernest Y. -Z. Tan

Quantum computing relies on processing information within a quantum system with many continuous degrees of freedom. The practical implementation of this idea requires complete control over all of the 2^n independent amplitudes of a…

Condensed Matter · Physics 2007-05-23 M. I. Dyakonov

Using a quantumlike description for light propagation in nonhomogeneous optical fibers, quantum information processing can be implemented by optical means. Quantum-like bits (qulbits) are associated to light modes in the optical fiber and…

Quantum Physics · Physics 2009-11-07 M. A. Man'ko , V. I. Man'ko , R. Vilela Mendes

The goal of quantum benchmarking is to certify that imperfect quantum communication devices (e.g., quantum channels, quantum memories, quantum key distribution systems) can still be used for meaningful quantum communication. However, the…

Quantum Physics · Physics 2012-08-28 Nathan Killoran , Mahdi Hosseini , Ben C. Buchler , Ping Koy Lam , Norbert Lütkenhaus

While recent progress in quantum hardware open the door for significant speedup in certain key areas (cryptography, biology, chemistry, optimization, machine learning, etc), quantum algorithms are still hard to implement right, and the…

Programming Languages · Computer Science 2022-04-11 Christophe Chareton , Sébastien Bardin , Dongho Lee , Benoît Valiron , Renaud Vilmart , Zhaowei Xu

Quantum Information Processing, which is an exciting area of research at the intersection of physics and computer science, has great potential for influencing the future development of information processing systems. The building of…

Logic in Computer Science · Computer Science 2015-11-06 Jaap Boender , Florian Kammüller , Rajagopal Nagarajan

Certification is important to guarantee the correct functioning of quantum devices. A key certification task is verifying that a device has produced a desired output state. In this work, we study this task in the context of photonic…

It is an open problem whether a classical client can delegate quantum computing to an efficient remote quantum server in such a way that the correctness of quantum computing is somehow guaranteed. Several protocols for verifiable delegated…

Quantum Physics · Physics 2020-03-13 Tomoyuki Morimae , Harumichi Nishimura

The position of a device or agent is an important security credential in today's society, both online and in the real world. Unless in direct proximity, however, the secure verification of a position is impossible without further…

Quantum Physics · Physics 2023-01-24 Andreas Bluhm , Matthias Christandl , Florian Speelman

Quantum error correcting code is a useful tool to combat noise in quantum computation. It is also an important ingredient in a number of unconditionally secure quantum key distribution schemes. Here, I am going to show that quantum code can…

Quantum Physics · Physics 2007-05-23 H. F. Chau

As quantum computing progresses steadily from theory into practice, programmers will face a common problem: How can they be sure that their code does what they intend it to do? This paper presents encouraging results in the application of…

Programming Languages · Computer Science 2021-07-15 Kesha Hietala , Robert Rand , Shih-Han Hung , Liyi Li , Michael Hicks

The nature of quantum computation is discussed. It is argued that, in terms of the amount of information manipulated in a given time, quantum and classical computation are equally efficient. Quantum superposition does not permit quantum…

Quantum Physics · Physics 2014-06-10 A. M. Steane

Quantum computers, besides offering substantial computational speedups, are also expected to provide the possibility of preserving the privacy of a computation. Here we show the first such experimental demonstration of blind quantum…

Recent research has demonstrated that quantum computers can solve certain types of problems substantially faster than the known classical algorithms. These problems include factoring integers and certain physics simulations. Practical…

Quantum Physics · Physics 2009-10-30 Emanuel Knill , Raymond Laflamme , Wojciech H. Zurek

In this paper, we introduce a new approach to quantum benchmarking inspired by quantum verification motivating new paradigms of quantum benchmarking. Our proposed benchmark not only serves as a robust indicator of computational capability…

Quantum Physics · Physics 2024-04-17 Johannes Frank , Elham Kashefi , Dominik Leichtle , Michael de Oliveira

A reliable method for characterizing quantum operations that is suitable for improving and validating their accuracies is indispensable for realizing a practical quantum computer. Known methods are still not sufficient because they lack…

Quantum Physics · Physics 2021-06-25 Takanori Sugiyama , Shinpei Imori , Fuyuhiko Tanaka