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We present a method, called matching synthesis, for decoding quantum codes that produces an enhanced assignment of errors from an ensemble of decoders. We apply matching synthesis to develop a decoder named Libra, and show in simulations…

量子物理 · 物理学 2024-08-23 Cody Jones

Quantum error correction is the art of protecting fragile quantum information through suitable encoding and active interventions. After encoding $k$ logical qubits into $n>k$ physical qubits using a stabilizer code, this amounts to…

量子物理 · 物理学 2025-05-27 Eric J. Kuehnke , Kyano Levi , Joschka Roffe , Jens Eisert , Daniel Miller

Current quantum computing hardware is restricted by the availability of only few, noisy qubits which limits the investigation of larger, more complex molecules in quantum chemistry calculations on quantum computers in the near-term. In this…

PyFR is an open-source high-order accurate computational fluid dynamics solver for mixed unstructured grids that can target a range of hardware platforms from a single codebase. In this paper we demonstrate the ability of PyFR to perform…

流体动力学 · 物理学 2014-09-02 F. D. Witherden , B. C. Vermeire , P. E. Vincent

Quantum circuit synthesis is the process in which an arbitrary unitary operation is decomposed into a sequence of gates from a universal set, typically one which a quantum computer can implement both efficiently and fault-tolerantly. As…

量子物理 · 物理学 2016-10-17 Olivia Di Matteo , Michele Mosca

We present a comprehensive and self-contained framework for the efficient classical simulation of Clifford circuits acting on $d$-dimensional qudits, including realistic Pauli/Weyl noise via stochastic simulation. Our approach uses the…

量子物理 · 物理学 2026-03-26 Nina Brandl , Mykyta Cherniak , Johannes Kofler , Richard Kueng

We consider the problem of synthesizing safety strategies for control systems, also known as shields. Since the state space is infinite, shields are typically computed over a finite-state abstraction, with the most common abstraction being…

计算机科学中的逻辑 · 计算机科学 2025-01-03 Asger Horn Brorholt , Andreas Holck Høeg-Petersen , Kim Guldstrand Larsen , Christian Schilling

The leading paradigm for performing computation on quantum memories can be encapsulated as distill-then-synthesize. Initially, one performs several rounds of distillation to create high-fidelity magic states that provide one good T gate, an…

量子物理 · 物理学 2017-02-15 Earl T. Campbell , Mark Howard

For a quantum computer acting on d-dimensional systems, we analyze the computational power of circuits wherein stabilizer operations are perfect and we allow access to imperfect non-stabilizer states or operations. If the noise rate…

量子物理 · 物理学 2011-03-21 Wim van Dam , Mark Howard

We propose a general method for preparing stabilizer states with reduced two-qubit gate count and depth compared to the state of the art. The method starts from a graph state representation of the stabilizer state and iteratively reduces…

We present an algorithm that decomposes any $n$-qubit Clifford operator into a circuit consisting of three subcircuits containing only CNOT or CPHASE gates with layers of one-qubit gates before and after each of these subcircuits. As with…

量子物理 · 物理学 2023-10-18 Timothy Proctor , Kevin Young

Quantum squaring operation is a useful building block in implementing quantum algorithms such as linear regression, regularized least squares algorithm, order-finding algorithm, quantum search algorithm, Newton Raphson division, Euclidean…

量子物理 · 物理学 2024-06-05 Afrin Sultana , Edgard Muñoz-Coreas

Fault-tolerant logic gates will consume a large proportion of the resources of a two-dimensional quantum computing architecture. Here we show how to perform a fault-tolerant non-Clifford gate with the surface code; a quantum…

量子物理 · 物理学 2021-04-20 Benjamin J. Brown

Fast numerical libraries have been a cornerstone of scientific computing for decades, but this comes at a price. Programs may be tied to vendor specific software ecosystems resulting in polluted, non-portable code. As we enter an era of…

编程语言 · 计算机科学 2019-10-10 Bruce Collie , Philip Ginsbach , Michael F. P. O'Boyle

Let $n\geq 8$ be divisible by 4. The Clifford-cyclotomic gate set $\mathcal{G}_n$ is the universal gate set obtained by extending the Clifford gates with the $z$-rotation $T_n = \mathrm{diag}(1,\zeta_n)$, where $\zeta_n$ is a primitive…

We present two classical algorithms for the simulation of universal quantum circuits on $n$ qubits constructed from $c$ instances of Clifford gates and $t$ arbitrary-angle $Z$-rotation gates such as $T$ gates. Our algorithms complement each…

量子物理 · 物理学 2022-06-27 Hakop Pashayan , Oliver Reardon-Smith , Kamil Korzekwa , Stephen D. Bartlett

We present PyCDFT, a Python package to compute diabatic states using constrained density functional theory (CDFT). PyCDFT provides an object-oriented, customizable implementation of CDFT, and allows for both single-point…

材料科学 · 物理学 2020-07-07 He Ma , Wennie Wang , Siyoung Kim , Man-Hin Cheng , Marco Govoni , Giulia Galli

The growing complexity of quantum programming frameworks has exposed a critical limitation in existing large language model (LLM)-based code assistants: general-purpose models hallucinate PennyLane-specific gate names, misplace device…

The current phase of quantum computing is in the Noisy Intermediate-Scale Quantum (NISQ) era. On NISQ devices, two-qubit gates such as CNOTs are much noisier than single-qubit gates, so it is essential to minimize their count. Quantum…

量子物理 · 物理学 2022-03-24 Xin-Chuan Wu , Marc Grau Davis , Frederic T. Chong , Costin Iancu

Twirling noise affecting quantum gates is essential in understanding and controlling errors, but applicable operations to noise are usually restricted by symmetries inherent in quantum gates. In this work, we propose symmetric Clifford…

量子物理 · 物理学 2025-06-18 Kento Tsubouchi , Yosuke Mitsuhashi , Kunal Sharma , Nobuyuki Yoshioka