Title: Designing excitonic circuits for the Deutsch–Jozsa algorithm: mitigating fidelity loss by merging gate operations

Abstract

In this manuscript, we examine design strategies for the development of excitonic circuits that are capable of performing simple 2-qubit multi-step quantum algorithms. Specifically, we compare two different strategies for designing dye-based systems that prescribe exciton evolution encoding a particular quantum algorithm. A serial strategy implements the computation as a step-by-step series of circuits, with each carrying out a single operation of the quantum algorithm, and a combined strategy implements the entire computation in a single circuit. We apply these two approaches to the well-studied Deutsch–Jozsa algorithm and evaluate circuit fidelity in an idealized system under a model harmonic bath, and also for a bath that is parameterized to reflect the thermal fluctuations of an explicit molecular environment. We find that the combined strategy tends to yield higher fidelity and that the harmonic bath approximation leads to lower fidelity than a model molecular bath. These results imply that the programming of excitonic circuits for quantum computation should favor hard-coded modules that incorporate multiple algorithmic steps and should represent the molecular nature of the circuit environment.

Authors:

Castellanos, Maria A. ^[1]; Willard, Adam P.  ^[1]

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1. Department of Chemistry, Massachusetts Institute of Technology, Cambridge, USA

Publication Date:

Wed Jul 21 00:00:00 EDT 2021

Research Org.:

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of California, Oakland, CA (United States)

Sponsoring Org.:

USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:

1806226

Alternate Identifier(s):

OSTI ID: 1853413

Grant/Contract Number:  

SC0019998; AC02-05CH11231

Resource Type:

Published Article

Journal Name:

Physical Chemistry Chemical Physics. PCCP

Additional Journal Information:

Journal Name: Physical Chemistry Chemical Physics. PCCP Journal Volume: 23 Journal Issue: 28; Journal ID: ISSN 1463-9076

Publisher:

Royal Society of Chemistry (RSC)

Country of Publication:

United Kingdom

Language:

English

Subject:

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS