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Digital-analog quantum computation with arbitrary two-body Hamiltonians

Mikel Garcia-de-Andoin
(
- Basque U., Bilbao and
- ESS, Bilbao and
- U. Basque Country, Leioa
)
,
Álvaro Saiz
(
- Seville U.
)
,
Pedro Pérez-Fernández
(
- Seville U. and
- Granada U., Theor. Phys. Astrophys.
)
,
Lucas Lamata
(
- Seville U. and
- Granada U., Theor. Phys. Astrophys.
)
,
Izaskun Oregi
(
- Unlisted, ES
)

Jul 3, 2023

14 pages

Published in:

Phys.Rev.Res. 6 (2024) 1, 013280

Published: Mar 14, 2024

e-Print:

2307.00966 [quant-ph]

DOI:

10.1103/PhysRevResearch.6.013280 (publication)

View in:

ADS Abstract Service

reference search14 citations

Citations per year

Abstract: (APS)

Digital-analog quantum computing is a computational paradigm which employs an analog Hamiltonian resource together with single-qubit gates to reach universality. Here, we design a new scheme which employs an arbitrary two-body source Hamiltonian, extending the experimental applicability of this computational paradigm to most quantum platforms. We show that the simulation of an arbitrary two-body target Hamiltonian of

n

qubits requires

O (n^{2})

analog blocks with guaranteed positive times, providing a polynomial advantage compared to the previous scheme. Additionally, we propose a classical strategy which combines a Bayesian optimization with a gradient descent method, improving the performance by

\sim 55 %

for small systems measured in the Frobenius norm.

Note:

Corrected typo in Eqs.A11-A12 that led to confusion

Hamiltonian
noisy intermediate-scale quantum
universality
gate
rotation
qubit
quantum simulation

References(39)

Figures(2)

[1]

The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines

Paul Benioff

- J.Statist.Phys. 22 (1980) 5, 563-591
•
DOI:
- 10.1007/BF01011339

[2]

Simulating physics with computers

Richard P. Feynman
(
- Caltech
)

- Int.J.Theor.Phys. 21 (1982) 467-488,
•
DOI:
- 10.1007/BF02650179

[3]

Colloquium: Quantum annealing and analog quantum computation

Arnab Das
(
- Cambridge U., DAMTP and
- Saha Inst.
)
,
Bikas K. Chakrabarti
(
- Cambridge U., DAMTP and
- Saha Inst.
)

- Rev.Mod.Phys. 80 (2008) 1061-1081
•
e-Print:
- 0801.2193
•
DOI:
- 10.1103/RevModPhys.80.1061

[4]

Universality in quantum computation

- Proc.Roy.Soc.Lond.A 449 (1995) 669
•
e-Print:
- quant-ph/9505018
•
DOI:
- 10.1098/rspa.1995.0065

[5]

Quantum optimal control theory

J. Werschnik
,
E.K.U. Gross

e-Print:
- 0707.1883

[6]

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Christiane P. Koch
(
- Freie U., Berlin
)
,
Ugo Boscain
(
- CNRS, France and
- LIP6, Paris
)
,
Tommaso Calarco
(
- Julich, Forschungszentrum
)
,
Gunther Dirr
(
- Wurzburg U.
)
,
Stefan Filipp
(
- Meissner Inst., Munich and
- Munich, Tech. U. and
- MCQST, Munich
)

et al.

- EPJ Quant.Technol. 9 (2022) 1, 19,
- Technol. 9 (2022) 19
•
e-Print:
- 2205.12110
•
DOI:
- 10.1140/epjqt/s40507-022-00138-x

[7]

(, Cambridge, UK, )

M.A. Nielsen
,
I.L. Chuang

[8]

Quantum error correction with imperfect gates, in , edited by (, Boston, ), pp

O. Hirota
,
A.S. Holevo
,
C.M. Caves
,
A.Y. Kitaev

[9]

Quantum Computing in the NISQ era and beyond

John Preskill
(
- Caltech, IQI
)

- Quantum 2 (2018) 79
•
e-Print:
- 1801.00862
•
DOI:
- 10.22331/q-2018-08-06-79

[10]

The battle of clean and dirty qubits in the era of partial error correction

Daniel Bultrini
(
- Los Alamos and
- Heidelberg U.
)
,
Samson Wang
(
- Los Alamos and
- Imperial Coll., London
)
,
Piotr Czarnik
(
- Los Alamos and
- Jagiellonian U.
)
,
Max Hunter Gordon
(
- Los Alamos and
- Madrid, Autonoma U.
)
,
M. Cerezo
(
- Los Alamos and
- Oak Ridge
)

et al.

- Quantum 7 (2023) 1060,
- Quantum 7 (2023) 1060
•
e-Print:
- 2205.13454
•
DOI:
- 10.22331/q-2023-07-13-1060

[11]

Fault tolerant quantum computation with constant error

Dorit Aharonov
(
- Hebrew U.
)
,
Michael Ben-Or
(
- Hebrew U.
)

e-Print:
- quant-ph/9611025

[12]

Accuracy threshold for quantum computation

Emanuel Knill
(
- Los Alamos and
- UC, Santa Barbara
)
,
Raymond Laflamme
(
- Los Alamos and
- UC, Santa Barbara
)
,
Wojciech Zurek
(
- Los Alamos and
- UC, Santa Barbara
)

e-Print:
- quant-ph/9610011

[13]

Digital-analog quantum simulations with superconducting circuits

- Adv.Phys.X (2018)
•
DOI:
- 10.1080/23746149.2018.1457981

[14]

Digital-analog quantum computation

Adrian Parra-Rodriguez
(
- Basque U., Bilbao
)
,
Pavel Lougovski
(
- Oak Ridge
)
,
Lucas Lamata
(
- Basque U., Bilbao and
- Seville U.
)
,
Enrique Solano
(
- Basque U., Bilbao and
- IKERBASQUE, Bilbao and
- Shanghai U.
)
,
Mikel Sanz
(
- Basque U., Bilbao
)

- Phys.Rev.A 101 (2020) 2, 022305
•
DOI:
- 10.1103/PhysRevA.101.022305

[15]

Mitigating noise in digital and digital–analog quantum computation

Paula García-Molina
(
- Basque U., Bilbao and
- CSIC, IFF, Madrid
)
,
Ana Martin
(
- Basque U., Bilbao and
- U. Basque Country, Leioa
)
,
Mikel Garcia de Andoin
(
- Basque U., Bilbao and
- U. Basque Country, Leioa and
- Unlisted, ES
)
,
Mikel Sanz
(
)

- Commun.Phys. 7 (2024) 1, 321
•
e-Print:
- 2107.12969
•
DOI:
- 10.1038/s42005-024-01812-5

[16]

Quantum neuronal sensing of quantum many-body states on a 61-qubit programmable superconducting processor

Ming Gong
(
- Hefei, CUST and
- SRCQS, Shanghai
)
,
He-Liang Huang
(
- Hefei, CUST and
- SRCQS, Shanghai
)
,
Shiyu Wang
(
- Hefei, CUST and
- SRCQS, Shanghai
)
,
Chu Guo
(
- Hefei, CUST and
- SRCQS, Shanghai
)
,
Shaowei Li
(
- Hefei, CUST and
- SRCQS, Shanghai
)

et al.

- Sci.Bull. 68 (2023) 906-912
•
e-Print:
- 2201.05957
•
DOI:
- 10.1016/j.scib.2023.04.003

[17]

Digital-Analog Quantum Simulations Using the Cross-Resonance Effect

Tasio Gonzalez-Raya
(
- Basque U., Bilbao
)
,
Rodrigo Asensio-Perea
(
- Basque U., Bilbao
)
,
Ana Martin
(
- Basque U., Bilbao
)
,
Lucas C. Céleri
(
- Goias U.
)
,
Mikel Sanz
(
- Basque U., Bilbao and
- Unlisted, DE
)

et al.

- PRX Quantum 2 (2021) 2, 020328
•
DOI:
- 10.1103/PRXQuantum.2.020328

[18]

Universal quantum Hamiltonians

- Proc.Nat.Acad.Sci. 115 (2018) 38, 9497
•
DOI:
- 10.1073/pnas.1804949115

[19]

Enhanced connectivity of quantum hardware with digital-analog control

A. Galicia
,
B. Ramon
,
E. Solano
,
M. Sanz

- Phys.Rev.Res. 2 (2020) 033103
•
DOI:
- 10.1103/PhysRevResearch.2.033103

[20]

Universal quantum computation and simulation using any entangling Hamiltonian and local unitaries

J.L. Dodd
,
M.A. Nielsen
,
M.J. Bremner
,
R.T. Thew

- Phys.Rev.A 65 (2002) 040301
•
DOI:
- 10.1103/PhysRevA.65.040301

[21]

Generalized Trotter's Formula and Systematic Approximants of Exponential Operators and Inner Derivations with Applications to Many Body Problems

M. Suzuki
(
- Tokyo U.
)

- Commun.Math.Phys. 51 (1976) 183-190
•
DOI:
- 10.1007/BF01609348

[22]

Synthesis of and compilation with time-optimal multi-qubit gates

et al.

- Quantum 7 (2023) 984,
- Quantum 7 (2023) 984
•
e-Print:
- 2206.06387
•
DOI:
- 10.22331/q-2023-04-20-984

[23]

in (, Englewood Cliffs, NJ, ), Chap. 23, pp

C.L. Lawson
,
R.J. Hanson

[24]

Efficient Classical Simulation of Slightly Entangled Quantum Computations

Guifré Vidal
(
- Caltech, IQI
)

- Phys.Rev.Lett. 91 (2003) 14, 147902
•
DOI:
- 10.1103/PhysRevLett.91.147902

[25]

Global optimization of MPS in quantum-inspired numerical analysis

e-Print:
- 2303.09430

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