Universal quantum simulation with prethreshold superconducting qubits

Single-excitation subspace method

Michael R. Geller, John M. Martinis, Andrew T. Sornborger, Phillip C. Stancil, Emily J. Pritchett, Hao You, Andrei Galiautdinov

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Current quantum computing architectures lack the size and fidelity required for universal fault-tolerant operation, limiting the practical implementation of key quantum algorithms to all but the smallest problem sizes. In this work we propose an alternative method for general-purpose quantum computation that is ideally suited for such "prethreshold" superconducting hardware. Computations are performed in the n-dimensional single-excitation subspace (SES) of a system of n tunably coupled superconducting qubits. The approach is not scalable, but allows many operations in the unitary group SU(n) to be implemented by a single application of the Hamiltonian, bypassing the need to decompose a desired unitary into elementary gates. This feature makes large, nontrivial quantum computations possible within the available coherence time. We show how to use a programmable SES chip to perform fast amplitude amplification and phase estimation, two versatile quantum subalgorithms. We also show that an SES processor is well suited for Hamiltonian simulation, specifically simulation of the Schrödinger equation with a real but otherwise arbitrary n×n Hamiltonian matrix. We discuss the utility and practicality of such a universal quantum simulator, and propose its application to the study of realistic atomic and molecular collisions.

Original languageEnglish (US)
Article number062309
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume91
Issue number6
DOIs
StatePublished - Jun 8 2015

Fingerprint

quantum computation
excitation
molecular collisions
atomic collisions
simulation
simulators
central processing units
hardware
chips

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Geller, M. R., Martinis, J. M., Sornborger, A. T., Stancil, P. C., Pritchett, E. J., You, H., & Galiautdinov, A. (2015). Universal quantum simulation with prethreshold superconducting qubits: Single-excitation subspace method. Physical Review A - Atomic, Molecular, and Optical Physics, 91(6), [062309]. https://doi.org/10.1103/PhysRevA.91.062309

Universal quantum simulation with prethreshold superconducting qubits : Single-excitation subspace method. / Geller, Michael R.; Martinis, John M.; Sornborger, Andrew T.; Stancil, Phillip C.; Pritchett, Emily J.; You, Hao; Galiautdinov, Andrei.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 91, No. 6, 062309, 08.06.2015.

Research output: Contribution to journalArticle

Geller, Michael R. ; Martinis, John M. ; Sornborger, Andrew T. ; Stancil, Phillip C. ; Pritchett, Emily J. ; You, Hao ; Galiautdinov, Andrei. / Universal quantum simulation with prethreshold superconducting qubits : Single-excitation subspace method. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2015 ; Vol. 91, No. 6.
@article{0b982726739e401c889e0032e6efc04e,
title = "Universal quantum simulation with prethreshold superconducting qubits: Single-excitation subspace method",
abstract = "Current quantum computing architectures lack the size and fidelity required for universal fault-tolerant operation, limiting the practical implementation of key quantum algorithms to all but the smallest problem sizes. In this work we propose an alternative method for general-purpose quantum computation that is ideally suited for such {"}prethreshold{"} superconducting hardware. Computations are performed in the n-dimensional single-excitation subspace (SES) of a system of n tunably coupled superconducting qubits. The approach is not scalable, but allows many operations in the unitary group SU(n) to be implemented by a single application of the Hamiltonian, bypassing the need to decompose a desired unitary into elementary gates. This feature makes large, nontrivial quantum computations possible within the available coherence time. We show how to use a programmable SES chip to perform fast amplitude amplification and phase estimation, two versatile quantum subalgorithms. We also show that an SES processor is well suited for Hamiltonian simulation, specifically simulation of the Schr{\"o}dinger equation with a real but otherwise arbitrary n×n Hamiltonian matrix. We discuss the utility and practicality of such a universal quantum simulator, and propose its application to the study of realistic atomic and molecular collisions.",
author = "Geller, {Michael R.} and Martinis, {John M.} and Sornborger, {Andrew T.} and Stancil, {Phillip C.} and Pritchett, {Emily J.} and Hao You and Andrei Galiautdinov",
year = "2015",
month = "6",
day = "8",
doi = "10.1103/PhysRevA.91.062309",
language = "English (US)",
volume = "91",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "6",

}

TY - JOUR

T1 - Universal quantum simulation with prethreshold superconducting qubits

T2 - Single-excitation subspace method

AU - Geller, Michael R.

AU - Martinis, John M.

AU - Sornborger, Andrew T.

AU - Stancil, Phillip C.

AU - Pritchett, Emily J.

AU - You, Hao

AU - Galiautdinov, Andrei

PY - 2015/6/8

Y1 - 2015/6/8

N2 - Current quantum computing architectures lack the size and fidelity required for universal fault-tolerant operation, limiting the practical implementation of key quantum algorithms to all but the smallest problem sizes. In this work we propose an alternative method for general-purpose quantum computation that is ideally suited for such "prethreshold" superconducting hardware. Computations are performed in the n-dimensional single-excitation subspace (SES) of a system of n tunably coupled superconducting qubits. The approach is not scalable, but allows many operations in the unitary group SU(n) to be implemented by a single application of the Hamiltonian, bypassing the need to decompose a desired unitary into elementary gates. This feature makes large, nontrivial quantum computations possible within the available coherence time. We show how to use a programmable SES chip to perform fast amplitude amplification and phase estimation, two versatile quantum subalgorithms. We also show that an SES processor is well suited for Hamiltonian simulation, specifically simulation of the Schrödinger equation with a real but otherwise arbitrary n×n Hamiltonian matrix. We discuss the utility and practicality of such a universal quantum simulator, and propose its application to the study of realistic atomic and molecular collisions.

AB - Current quantum computing architectures lack the size and fidelity required for universal fault-tolerant operation, limiting the practical implementation of key quantum algorithms to all but the smallest problem sizes. In this work we propose an alternative method for general-purpose quantum computation that is ideally suited for such "prethreshold" superconducting hardware. Computations are performed in the n-dimensional single-excitation subspace (SES) of a system of n tunably coupled superconducting qubits. The approach is not scalable, but allows many operations in the unitary group SU(n) to be implemented by a single application of the Hamiltonian, bypassing the need to decompose a desired unitary into elementary gates. This feature makes large, nontrivial quantum computations possible within the available coherence time. We show how to use a programmable SES chip to perform fast amplitude amplification and phase estimation, two versatile quantum subalgorithms. We also show that an SES processor is well suited for Hamiltonian simulation, specifically simulation of the Schrödinger equation with a real but otherwise arbitrary n×n Hamiltonian matrix. We discuss the utility and practicality of such a universal quantum simulator, and propose its application to the study of realistic atomic and molecular collisions.

UR - http://www.scopus.com/inward/record.url?scp=84937459444&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84937459444&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.91.062309

DO - 10.1103/PhysRevA.91.062309

M3 - Article

VL - 91

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 6

M1 - 062309

ER -