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Quantum simulation has shown great potential in many fields due to its powerful computational capabilities. However, the limited fidelity can lead to a severe limitation on the number of gate operations, which requires us to find optimized…

量子物理 · 物理学 2021-09-20 Yi-Tong Zou , Yu-Jiao Bo , Ji-Chong Yang

By exploiting the invariance of the molecular Hamiltonian by a unitary transformation of the orbitals it is possible to significantly shorter the depth of the variational circuit in the Variational Quantum Eigensolver (VQE) algorithm by…

量子物理 · 物理学 2025-09-03 Leonardo Ratini , Chiara Capecci , Leonardo Guidoni

In this work we present a method of decomposition of arbitrary unitary matrix $U\in\mathbf U(2^k)$ into a product of single-qubit negator and controlled-$\sqrt{\mbox{NOT}}$ gates. Since the product results with negator matrix, which can be…

量子物理 · 物理学 2016-10-27 Adam Glos , Przemysław Sadowski

We present a quantum averaging theory (QAT) for analytically modeling unitary gate dynamics in driven quantum systems beyond the rotating-wave approximation. QAT addresses the simultaneous presence of distinct timescales by generating a…

量子物理 · 物理学 2026-01-05 Kristian D. Barajas , Wesley C. Campbell

A quantum algorithm that solves the time-dependent Dirac equation on a digital quantum computer is developed and analyzed. The time evolution is performed by an operator splitting decomposition technique that allows for a mapping of the…

量子物理 · 物理学 2017-05-03 F. Fillion-Gourdeau , S. MacLean , R. Laflamme

We use quantum optimal control to identify fast collision-based two-qubit $\sqrt{\text{SWAP}}$ gates in ultracold atoms. We show that a significant speed up can be achieved by optimizing the full gate instead of separately optimizing the…

It is usually assumed that a quantum computation is performed by applying gates in a specific order. One can relax this assumption by allowing a control quantum system to switch the order in which the gates are applied. This provides a more…

量子物理 · 物理学 2020-06-11 Mateus Araújo , Fabio Costa , Časlav Brukner

Quantum walk has been regarded as a primitive to universal quantum computation. By using the operations required to describe the single particle discrete-time quantum walk on a position space we demonstrate the realization of the universal…

量子物理 · 物理学 2021-06-16 Shivani Singh , Prateek Chawla , Anupam Sarkar , C. M. Chandrashekar

Since simulating quantum computers requires exponentially more classical resources, efficient algorithms are extremely helpful. We analyze algorithms that create single qubit and specific controlled qubit matrix representations of gates.…

量子物理 · 物理学 2007-05-23 Eric Hsu

In designing quantum control, it is generally required to simulate the controlled system evolution with a classical computer. However, computing the time evolution operator can be quite resource-consuming since the total Hamiltonian is…

量子物理 · 物理学 2022-10-25 Xiaodong Yang , Xinfang Nie , Yunlan Ji , Tao Xin , Dawei Lu , Jun Li

Quantum computing is powerful because unitary operators describing the time-evolution of a quantum system have exponential size in terms of the number of qubits present in the system. We develop a new "Singular value transformation"…

量子物理 · 物理学 2020-02-21 András Gilyén , Yuan Su , Guang Hao Low , Nathan Wiebe

Combinatorial optimization is a promising application for near-term quantum computers, however, identifying performant algorithms suited to noisy quantum hardware remains as an important goal to potentially realizing quantum computational…

量子物理 · 物理学 2025-04-01 Titus D. Morris , Ananth Kaushik , Martin Roetteler , Phillip C. Lotshaw

The superpositional wave function oscillations for finite-time implementation of quantum algorithms modifies the desired interference required for quantum computing. We propose a scheme with trapped ultracold ion-pairs being qubits to…

量子物理 · 物理学 2007-05-23 Feng Mang , Zhu Xiwen , Gao Kelin , Shi Lei

Any quantum program on a realistic quantum device must be compiled into an executable form while taking into account the underlying hardware constraints. Stringent restrictions on architecture and control imposed by physical platforms make…

量子物理 · 物理学 2023-10-16 Run-Hong He , Xu-Sheng Xu , Mark S. Byrd , Zhao-Ming Wang

The search problem is to find a state satisfying certain properties out of a given set. Grover's algorithm drives a quantum computer from a prepared initial state to the target state and solves the problem quadratically faster than a…

量子物理 · 物理学 2009-11-13 Avatar Tulsi

The aircraft loading optimization problem is a computationally hard problem with the best known classical algorithm scaling exponentially with the number of objects. We propose a quantum approach based on a multi-angle variant of the QAOA…

The full-potential linearized augmented-plane wave (FP-LAPW) method is well known to enable most accurate calculations of the electronic structure and magnetic properties of crystals and surfaces. The implementation of atomic forces has…

凝聚态物理 · 物理学 2009-10-31 Max Petersen , Frank Wagner , Lars Hufnagel , Matthias Scheffler , Peter Blaha , Karlheinz Schwarz

Quantum optimal control plays a crucial role in quantum computing by providing the interface between compiler and hardware. Solving the optimal control problem is particularly challenging for multi-qubit gates, due to the exponential growth…

量子物理 · 物理学 2024-07-25 N. Anders Petersson , Stefanie Günther , Seung Whan Chung

The design of efficient quantum circuits is an important issue in quantum computing. It is in general a formidable task to find a highly optimized quantum circuit for a given unitary matrix. We propose a quantum circuit design method that…

量子物理 · 物理学 2023-11-27 Andreas Klappenecker , Martin Roetteler

Quantum-circuit optimization is essential for any practical realization of quantum computation, in order to beat decoherence. We present a scheme for implementing the final stage in the compilation of quantum circuits, i.e., for finding the…

量子物理 · 物理学 2007-05-23 Juha J. Vartiainen , Antti O. Niskanen , Mikio Nakahara , Martti M. Salomaa