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Title: Computing with a single qubit faster than the computation quantum speed limit

Here, the possibility to save and process information in fundamentally indistinguishable states is the quantum mechanical resource that is not encountered in classical computing. I demonstrate that, if energy constraints are imposed, this resource can be used to accelerate information-processing without relying on entanglement or any other type of quantum correlations. In fact, there are computational problems that can be solved much faster, in comparison to currently used classical schemes, by saving intermediate information in nonorthogonal states of just a single qubit. There are also error correction strategies that protect such computations.
Authors:
ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-17-20194
Journal ID: ISSN 0375-9601
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Physics Letters. A
Additional Journal Information:
Journal Volume: 382; Journal Issue: 7; Journal ID: ISSN 0375-9601
Publisher:
Elsevier
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Laboratory Directed Research and Development (LDRD) Program
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; Computer Science; Mathematics; Material Science; Quantum computing, Quantum Information, Energy Efficiency; Quantum speed limit; Quantum resource; Quantum gate fidelity
OSTI Identifier:
1481970

Sinitsyn, Nikolai A. Computing with a single qubit faster than the computation quantum speed limit. United States: N. p., Web. doi:10.1016/j.physleta.2017.12.042.
Sinitsyn, Nikolai A. Computing with a single qubit faster than the computation quantum speed limit. United States. doi:10.1016/j.physleta.2017.12.042.
Sinitsyn, Nikolai A. 2017. "Computing with a single qubit faster than the computation quantum speed limit". United States. doi:10.1016/j.physleta.2017.12.042. https://www.osti.gov/servlets/purl/1481970.
@article{osti_1481970,
title = {Computing with a single qubit faster than the computation quantum speed limit},
author = {Sinitsyn, Nikolai A.},
abstractNote = {Here, the possibility to save and process information in fundamentally indistinguishable states is the quantum mechanical resource that is not encountered in classical computing. I demonstrate that, if energy constraints are imposed, this resource can be used to accelerate information-processing without relying on entanglement or any other type of quantum correlations. In fact, there are computational problems that can be solved much faster, in comparison to currently used classical schemes, by saving intermediate information in nonorthogonal states of just a single qubit. There are also error correction strategies that protect such computations.},
doi = {10.1016/j.physleta.2017.12.042},
journal = {Physics Letters. A},
number = 7,
volume = 382,
place = {United States},
year = {2017},
month = {12}
}