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Elliptic curves over finite fields GF(2^n) play a prominent role in modern cryptography. Published quantum algorithms dealing with such curves build on a short Weierstrass form in combination with affine or projective coordinates. In this…

量子物理 · 物理学 2013-12-05 Brittanney Amento , Rainer Steinwandt , Martin Roetteler

Quantum computing is a promising technology that harnesses the peculiarities of quantum mechanics to deliver computational speedups for some problems that are intractable to solve on a classical computer. Current generation noisy…

A solid-state implementation of a quantum computer composed entirely of silicon is proposed. Qubits are Si-29 nuclear spins arranged as chains in a Si-28 (spin-0) matrix with Larmor frequencies separated by a large magnetic field gradient.…

量子物理 · 物理学 2007-05-23 T. D. Ladd , J. R. Goldman , F. Yamaguchi , Y. Yamamoto , E. Abe , K. M. Itoh

Recently the explicit applicability of bound entanglement in quantum cryptography has been shown. In this paper some of recent results respecting this topic are reviewed. In particular relevant notions and definitions are reminded. The new…

量子物理 · 物理学 2007-12-27 Pawel Horodecki , Remigiusz Augusiak

The quantum Fourier transform (QFT) is a key ingredient of several quantum algorithms and a qudit-specific implementation of the QFT is hence an important step toward the realization of qudit-based quantum computers. This work develops a…

量子物理 · 物理学 2015-03-24 Shruti Dogra , Arvind , Kavita Dorai

The rotation of subspaces by a chosen angle is a fundamental quantum computing operation, with applications in error correction and quantum algorithms such as the Quantum Approximate Optimization Algorithm, the Variational Quantum…

量子物理 · 物理学 2022-03-04 Xiu Gu , Jonathan Allcock , Shuoming An , Yu-xi Liu

Cryptography plays an important role in ensuring data security and authentication within information processing systems. As the prevalence of digital imagery continues to grow, safeguarding this form of data becomes increasingly crucial.…

量子物理 · 物理学 2024-03-27 Rakesh Saini , Bikash K. Behera , Saif Al-Kuwari , Ahmed Farouk

We show how a universal gate set for topological quantum computation in the Ising TQFT, the non-Abelian sector of the putative effective field theory of the $\nu=5/2$ fractional quantum Hall state, can be implemented. This implementation…

介观与纳米尺度物理 · 物理学 2007-05-23 Michael Freedman , Chetan Nayak , Kevin Walker

Quantum simulation algorithms often require numerous ancilla qubits and deep circuits, prohibitive for near-term hardware. We introduce a framework for simulating quantum channels using ensembles of low-depth circuits in place of many-qubit…

量子物理 · 物理学 2024-08-01 Joseph Peetz , Scott E. Smart , Prineha Narang

Complex quantum simulation workflows are often hindered by incompatible wavefunction representations adopted across different algorithmic frameworks. In particular, the mismatch between the first- and second-quantization formalisms prevents…

量子物理 · 物理学 2026-05-01 Calvin Ku , Yu-Cheng Chen , Alice Hu , Min-Hsiu Hsieh

In his seminal work on recording quantum queries [Crypto 2019], Zhandry studied interactions between quantum query algorithms and the quantum oracle corresponding to random functions. Zhandry presented a framework for interpreting various…

量子物理 · 物理学 2022-01-21 Ansis Rosmanis

Current quantum computers have the potential to overcome classical computational methods, however, the capability of the algorithms that can be executed on noisy intermediate-scale quantum devices is limited due to hardware imperfections.…

量子物理 · 物理学 2023-08-16 Cristian A. Galvis-Florez , Daniel Reitzner , Simo Särkkä

Gate-based universal quantum computation is formulated in terms of two types of operations: local single-qubit gates, which are typically easily implementable, and two-qubit entangling gates, whose faithful implementation remains one of the…

量子物理 · 物理学 2023-10-18 Xiaoqin Gao , Paul Appel , Nicolai Friis , Martin Ringbauer , Marcus Huber

A new quantum cryptography implementation is presented that combines one-way operation with an autocompensating feature that has hitherto only been available in implementations that require the signal to make a round trip between the users.…

We introduce a generalisation of quantum error correction, relaxing the requirement that a code should identify and correct a set of physical errors on the Hilbert space of a quantum computer exactly, instead allowing recovery up to a…

量子物理 · 物理学 2023-10-17 Daniel Zhang , Toby Cubitt

Quantum hashing is a useful technique that allows us to construct memory-efficient algorithms and secure quantum protocols. First, we present a circuit that implements the phase form of quantum hashing using $2^{n-1}$ CNOT gates, where n is…

量子物理 · 物理学 2025-07-10 Ilnar Zinnatullin , Kamil Khadiev

We propose to use the quantum states of an electron trapped on the inner surface of a graphene nanotorus to realize as a new kind of physical quantum bit, which can be used to encode quantum information. Fundamental tasks for quantum…

量子物理 · 物理学 2024-12-31 J. Furtado , A. C. A. Ramos , J. E. G. Silva , R. Bachelard , Alan C. Santos

We show that higher-dimensional versions of qubits, or qudits, can be encoded into spin systems and into harmonic oscillators, yielding important advantages for quantum computation. Whereas qubit-based quantum computation is adequate for…

量子物理 · 物理学 2007-05-23 Stephen D. Bartlett , Hubert de Guise , Barry C. Sanders

Quantum cryptography is the art and science of exploiting quantum mechanical effects in order to perform cryptographic tasks. While the most well-known example of this discipline is quantum key distribution (QKD), there exist many other…

量子物理 · 物理学 2023-04-04 Anne Broadbent , Christian Schaffner

We characterize the complete set of protocols that may be used to securely encrypt n quantum bits using secret and random classical bits. In addition to the application of such quantum encryption protocols to quantum data security, our…

量子物理 · 物理学 2007-05-23 P. Oscar Boykin , Vwani Roychowdhury