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We provide a polynomial-time classical algorithm for noisy quantum circuits. The algorithm computes the expectation value of any observable for any circuit, with a small average error over input states drawn from an ensemble (e.g. the…

Quantum Physics · Physics 2024-10-15 Thomas Schuster , Chao Yin , Xun Gao , Norman Y. Yao

In recent years, various techniques have been explored for the verification of quantum circuits, including the use of barrier certificates, mathematical tools capable of demonstrating the correctness of such systems. These certificates…

Logic in Computer Science · Computer Science 2025-06-23 Siwei Hu , Victor Lopata , Sadegh Soudjani , Paolo Zuliani

Quantum error mitigation is essential for computing on the noisy quantum computer with a limited number of qubits. In this paper, we propose a practical protocol of error mitigation by virtually purifying the quantum state without qubit…

Quantum Physics · Physics 2022-03-02 Mingxia Huo , Ying Li

The security of the previous quantum key distribution (QKD) protocols, which is guaranteed by the nature of physics law, is based on the legitimate users. However, impersonation of the legitimate communicators by eavesdroppers, in practice,…

Quantum Physics · Physics 2007-05-23 Guihua Zeng , Xinmei Wang

Quantum key distribution (QKD) offers a theoretically secure method to share secret keys, yet practical implementations face challenges due to noise and loss over long-distance channels. Traditional QKD protocols require extensive noise…

Quantum Physics · Physics 2025-08-01 Hannah Seabrook , Emilien Lavie , Teodor Strömberg , Matthew P. Stafford , Giulia Rubino

Quantum Computing has been evolving in the last years. Although nowadays quantum algorithms performance has shown superior to their classical counterparts, quantum decoherence and additional auxiliary qubits needed for error tolerance…

Quantum Physics · Physics 2021-05-06 O. M. Pires , E. I. Duzzioni , J. Marchi , R. Santiago

We present a two-state practical quantum bit commitment protocol, the security of which is based on the current technological limitations, namely the nonexistence of either stable long-term quantum memories or nondemolition measurements.…

The laws of quantum mechanics allow unconditionally secure key distribution protocols. Nevertheless, security proofs of traditional quantum key distribution (QKD) protocols rely on a crucial assumption, the trustworthiness of the quantum…

Quantum Physics · Physics 2014-10-08 Umesh Vazirani , Thomas Vidick

Near-term quantum communication protocols suffer inevitably from channel noises, whose alleviation has been mostly attempted with resources such as multiparty entanglement or sophisticated experimental techniques. Generation of multiparty…

Quantum Physics · Physics 2023-02-21 Rajni Bala , Sooryansh Asthana , V. Ravishankar

Existing quantum cryptographic schemes are not, as they stand, operable in the presence of noise on the quantum communication channel. Although they become operable if they are supplemented by classical privacy-amplification techniques, the…

Quantum Physics · Physics 2009-01-23 D. Deutsch , A. Ekert , R. Jozsa , C. Macchiavello , S. Popescu , A. Sanpera

In a world where elections touch every aspect of society, the need for secure voting is paramount. Traditional safeguards, based on classical cryptography, rely on complex math problems like factoring large numbers. However, quantum…

Quantum Physics · Physics 2024-07-01 Saiyam Sakhuja , S. Balakrishnan

Fault-tolerant quantum error correction provides a strategy to protect information processed by a quantum computer against noise which would otherwise corrupt the data. A fault-tolerant universal quantum computer must implement a universal…

Semi-quantum key distribution (SQKD) protocols attempt to establish a shared secret key between users, secure against computationally unbounded adversaries. Unlike standard quantum key distribution protocols, SQKD protocols contain at least…

Quantum Physics · Physics 2022-03-22 Saachi Mutreja , Walter O. Krawec

A semi-quantum key distribution (SQKD) protocol allows two users, one of whom is restricted in their quantum capabilities, to establish a shared secret key, secure against an all-powerful adversary. In this paper, we design a new SQKD…

Quantum Physics · Physics 2019-07-29 Hasan Iqbal , Walter O. Krawec

Post-processing is a significant step in quantum key distribution(QKD), which is used for correcting the quantum-channel noise errors and distilling identical corrected keys between two distant legitimate parties. Efficient error…

Quantum Physics · Physics 2019-05-09 Chaohui Gao , Dong Jiang , Liangliang Lu , Yu Guo , Lijun Chen

We study eavesdropping in quantum key distribution with the six state protocol,when the signal states are mixed with white noise. This situation may arise either when Alice deliberately adds noise to the signal states before they leave her…

Quantum Physics · Physics 2009-06-08 Z. Shadman , H. Kampermann , T. Meyer , D. Bruss

We prove the unconditional security of a quantum key distribution protocol in which bit values are encoded in the phase of a weak coherent-state pulse relative to a strong reference pulse. In contrast to implementations in which a weak…

Quantum Physics · Physics 2009-11-10 Masato Koashi

Distributed-phase-reference quantum key distribution stands out for its easy implementation with present day technology. Since many years, a full security proof of these schemes in a realistic setting has been elusive. For the first time,…

Quantum Physics · Physics 2013-07-05 Tobias Moroder , Marcos Curty , Charles Ci Wen Lim , Le Phuc Thinh , Hugo Zbinden , Nicolas Gisin

We consider the asymptotic key rates achieved in the simplest quantum key distribution protocols, namely the BB84 and the six-state protocols, when non-uniform noise is present in the system. We first observe that higher qubit error rates…

Quantum Physics · Physics 2020-07-02 Gláucia Murta , Filip Rozpędek , Jérémy Ribeiro , David Elkouss , Stephanie Wehner

Quantum mechanics provides cryptographic primitives whose security is grounded in hardness assumptions independent of those underlying classical cryptography. However, existing proposals require low-noise quantum communication and…

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