Digital-analog quantum computation
Abstract
Digital quantum computing paradigm offers highly desirable features such as universality, scalability, and quantum error correction. However, physical resource requirements to implement useful error-corrected quantum algorithms are prohibitive in the current era of NISQ devices. As an alternative path to performing universal quantum computation, within the NISQ era limitations, we propose to merge digital single-qubit operations with analog multiqubit entangling blocks in an approach we call digital-analog quantum computing (DAQC). Along these lines, although the techniques may be extended to any resource, we propose to use unitaries generated by the ubiquitous Ising Hamiltonian for the analog entangling block and we prove its universal character. Here, we construct explicit DAQC protocols for efficient simulations of arbitrary inhomogeneous Ising, two-body, and M-body spin Hamiltonian dynamics by means of single-qubit gates and a fixed homogeneous Ising Hamiltonian. Additionally, we compare a sequential approach where the interactions are switched on and off (stepwise DAQC) with an always-on multiqubit interaction interspersed by fast single-qubit pulses (banged DAQC). Finally, we perform numerical tests comparing purely digital schemes with DAQC protocols, showing a remarkably better performance of the latter. The proposed DAQC approach combines the robustness of analog quantum computing with the flexibility of digital methods.
- Authors:
-
[1];
[2];
- Univ. of the Basque Country, Donostia (Spain)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Univ. of the Basque Country, Donostia (Spain); Univ. of Sevilla (Spain)
- Univ. of the Basque Country, Donostia (Spain); Basque Foundation for Science, Bilbao (Spain); Shanghai Univ. (China)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); Ramon y Cajal; Basque Government
- OSTI Identifier:
- 1761676
- Grant/Contract Number:
- AC05-00OR22725; RYC-2012-11391; PRE-2016-1-0284
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 2; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; quantum computation; quantum information
Citation Formats
Parra-Rodriguez, Adrian, Lougovski, Pavel, Lamata, Lucas, Solano, Enrique, and Sanz, Mikel. Digital-analog quantum computation. United States: N. p., 2020.
Web. doi:10.1103/physreva.101.022305.
Parra-Rodriguez, Adrian, Lougovski, Pavel, Lamata, Lucas, Solano, Enrique, & Sanz, Mikel. Digital-analog quantum computation. United States. https://doi.org/10.1103/physreva.101.022305
Parra-Rodriguez, Adrian, Lougovski, Pavel, Lamata, Lucas, Solano, Enrique, and Sanz, Mikel. Thu .
"Digital-analog quantum computation". United States. https://doi.org/10.1103/physreva.101.022305. https://www.osti.gov/servlets/purl/1761676.
@article{osti_1761676,
title = {Digital-analog quantum computation},
author = {Parra-Rodriguez, Adrian and Lougovski, Pavel and Lamata, Lucas and Solano, Enrique and Sanz, Mikel},
abstractNote = {Digital quantum computing paradigm offers highly desirable features such as universality, scalability, and quantum error correction. However, physical resource requirements to implement useful error-corrected quantum algorithms are prohibitive in the current era of NISQ devices. As an alternative path to performing universal quantum computation, within the NISQ era limitations, we propose to merge digital single-qubit operations with analog multiqubit entangling blocks in an approach we call digital-analog quantum computing (DAQC). Along these lines, although the techniques may be extended to any resource, we propose to use unitaries generated by the ubiquitous Ising Hamiltonian for the analog entangling block and we prove its universal character. Here, we construct explicit DAQC protocols for efficient simulations of arbitrary inhomogeneous Ising, two-body, and M-body spin Hamiltonian dynamics by means of single-qubit gates and a fixed homogeneous Ising Hamiltonian. Additionally, we compare a sequential approach where the interactions are switched on and off (stepwise DAQC) with an always-on multiqubit interaction interspersed by fast single-qubit pulses (banged DAQC). Finally, we perform numerical tests comparing purely digital schemes with DAQC protocols, showing a remarkably better performance of the latter. The proposed DAQC approach combines the robustness of analog quantum computing with the flexibility of digital methods.},
doi = {10.1103/physreva.101.022305},
journal = {Physical Review A},
number = 2,
volume = 101,
place = {United States},
year = {Thu Feb 06 00:00:00 EST 2020},
month = {Thu Feb 06 00:00:00 EST 2020}
}
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Works referencing / citing this record:
Digital-analog quantum simulation of fermionic models
preprint, January 2021
- Céleri, Lucas C.; Huerga, Daniel; Albarrán-Arriagada, Francisco
- arXiv