Quantum computational geodesics

被引：2

作者：

Brandt, Howard E. ^{[1
]}

机构：

[1] USA, Res Lab, Adelphi, MD USA

来源：

JOURNAL OF MODERN OPTICS | 2009年 / 56卷 / 18-19期

关键词：

quantum computing; quantum circuits; quantum complexity; Riemannian geometry; quantum computational geodesics; Lax equation;

D O I：

10.1080/09500340903180517

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The purpose of this paper is to mathematically investigate characteristics of a geodesic equation describing locally minimum complexity paths in the special unitary group manifold representing the unitary evolution of n qubits associated with a quantum computation. The geodesic equation is a nonlinear differential matrix equation of the Lax type. A simple local initial-value solution is elaborated for the case of three qubits.

引用

页码：2112 / 2117

页数：6

共 50 条

[21] Applications of quantum inspired computational intelligence: a survey
A. Manju
M. J. Nigam
Artificial Intelligence Review, 2014, 42 : 79 - 156
[22] TIGHT QUANTUM BOUNDS FOR COMPUTATIONAL GEOMETRY PROBLEMS
Volpato, Nilton
Moura, Arnaldo
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2009, 7 (05) : 935 - 947
[23] Reflections on probabilistic compared to quantum computational devices
Corrente, Giuseppe
INTERNATIONAL JOURNAL OF PARALLEL EMERGENT AND DISTRIBUTED SYSTEMS, 2021, 36 (03) : 251 - 261
[24] Orthologic and quantum logic: Models and computational elements
Rawling, JP
Selesnick, SA
JOURNAL OF THE ACM, 2000, 47 (04) : 721 - 751
[25] Parallel evaluation of quantum algorithms for computational fluid dynamics
Steijl, Rene
Barakos, George N.
COMPUTERS & FLUIDS, 2018, 173 : 22 - 28
[26] Numerical Simulations of Noisy Quantum Circuits for Computational Chemistry
Gowrishankar, Meenambika
Wright, Jerimiah
Claudino, Daniel
Lotshaw, Phillip
Thien Nguyen
McCaskey, Alex
Humble, Travis
2022 IEEE INTERNATIONAL CONFERENCE ON QUANTUM COMPUTING AND ENGINEERING (QCE 2022), 2022, : 813 - 815
[27] Computational chemistry on quantum computers: Ground state estimation
Armaos, V
Badounas, Dimitrios A.
Deligiannis, Paraskevas
Lianos, Konstantinos
APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING, 2020, 126 (08):
[28] Quantum Evolutionary Computational Technique for Constrained Engineering Optimization
Astuti, V.
Raj, K. Hans
PROCEEDINGS ON 2016 2ND INTERNATIONAL CONFERENCE ON NEXT GENERATION COMPUTING TECHNOLOGIES (NGCT), 2016, : 291 - 298
[29] Embedding and Implementation of Quantum Computational Concepts in Digital Narratives
Sgouros, Nikitas M.
ENTERTAINMENT COMPUTING (ICEC 2015), 2015, 9353 : 140 - 154
[30] Numerical simulations of noisy quantum circuits for computational chemistry
Jerimiah Wright
Meenambika Gowrishankar
Daniel Claudino
Phillip C. Lotshaw
Thien Nguyen
Alexander J. McCaskey
Travis S. Humble
Materials Theory, 6 (1):

← 1 2 3 4 5 →