Scalable qubit representations of neutrino mixing matrices
Abstract
Oscillating neutrino beams exhibit quantum coherence over distances of thousands of kilometers. Their unambiguously quantum nature suggests an appealing test system for direct quantum simulation. Such techniques may enable presently analytically intractable calculations involving multi-neutrino entanglements, such as collective neutrino oscillations in supernovae, but only once oscillation phenomenology is properly re-expressed in the language of quantum circuits. Here we resolve outstanding conceptual issues regarding encoding of arbitrarily mixed neutrino flavor states in the Hilbert space of an n-qubit quantum computer. We introduce algorithms to encode mixing and oscillation of any number of flavor-mixed neutrinos, both with and without CP-violation, with an efficient number of prescriptive input parameters in terms of sub-rotations of the PMNS matrix in standard form. As a result, examples encoded for an IBM-Q quantum computer are shown to converge to analytic predictions both with and without CP-violation.
- Publication Date:
- Research Org.:
- Univ. of Texas at Arlington, TX (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1908616
- Grant/Contract Number:
- SC0019054
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Volume: 105; Journal Issue: 5; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Quantum algorithms; Quantum gates; Quantum simulation
Citation Formats
Molewski, Matthew J., and Jones, Ben J. P. Scalable qubit representations of neutrino mixing matrices. United States: N. p., 2022.
Web. doi:10.1103/physrevd.105.056024.
Molewski, Matthew J., & Jones, Ben J. P. Scalable qubit representations of neutrino mixing matrices. United States. https://doi.org/10.1103/physrevd.105.056024
Molewski, Matthew J., and Jones, Ben J. P. Tue .
"Scalable qubit representations of neutrino mixing matrices". United States. https://doi.org/10.1103/physrevd.105.056024. https://www.osti.gov/servlets/purl/1908616.
@article{osti_1908616,
title = {Scalable qubit representations of neutrino mixing matrices},
author = {Molewski, Matthew J. and Jones, Ben J. P.},
abstractNote = {Oscillating neutrino beams exhibit quantum coherence over distances of thousands of kilometers. Their unambiguously quantum nature suggests an appealing test system for direct quantum simulation. Such techniques may enable presently analytically intractable calculations involving multi-neutrino entanglements, such as collective neutrino oscillations in supernovae, but only once oscillation phenomenology is properly re-expressed in the language of quantum circuits. Here we resolve outstanding conceptual issues regarding encoding of arbitrarily mixed neutrino flavor states in the Hilbert space of an n-qubit quantum computer. We introduce algorithms to encode mixing and oscillation of any number of flavor-mixed neutrinos, both with and without CP-violation, with an efficient number of prescriptive input parameters in terms of sub-rotations of the PMNS matrix in standard form. As a result, examples encoded for an IBM-Q quantum computer are shown to converge to analytic predictions both with and without CP-violation.},
doi = {10.1103/physrevd.105.056024},
journal = {Physical Review. D.},
number = 5,
volume = 105,
place = {United States},
year = {Tue Mar 29 00:00:00 EDT 2022},
month = {Tue Mar 29 00:00:00 EDT 2022}
}
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