Interpretation of tomography and spectroscopy as dual forms of quantum computation

It is important to be able to determine the state of a quantum system and to measure properties of its evolution. State determination can be achieved using tomography, in which the system is subjected to a series of experiments, whereas spectroscopy can be used to probe the energy spectrum associate...

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Autores principales: Miquel, C., Paz, J.P., Saraceno, M., Knill, E., Laflamme, R., Negrevergne, C.
Formato: JOUR
Materias:
Algorithms
Computer simulation
Nuclear magnetic resonance
Numerical methods
Spectroscopy
Spectrum analysis
Tomography
Quantum computation
Quantum theory
physics
spectroscopy
tomography
algorithm
article
computer system
evolution
integrated circuit
mathematical analysis
mathematical model
nuclear magnetic resonance
priority journal
probability
quantum mechanics
quantum theory
radiation scattering
statistics
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00280836_v418_n6893_p59_Miquel
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00280836_v418_n6893_p59_Miquel
record_format dspace
spelling todo:paper_00280836_v418_n6893_p59_Miquel2023-10-03T14:38:32Z Interpretation of tomography and spectroscopy as dual forms of quantum computation Miquel, C. Paz, J.P. Saraceno, M. Knill, E. Laflamme, R. Negrevergne, C. Algorithms Computer simulation Nuclear magnetic resonance Numerical methods Spectroscopy Spectrum analysis Tomography Quantum computation Quantum theory physics spectroscopy tomography algorithm article computer system evolution integrated circuit mathematical analysis mathematical model nuclear magnetic resonance priority journal probability quantum mechanics quantum theory radiation scattering spectroscopy statistics tomography It is important to be able to determine the state of a quantum system and to measure properties of its evolution. State determination can be achieved using tomography, in which the system is subjected to a series of experiments, whereas spectroscopy can be used to probe the energy spectrum associated with the system's evolution. Here we show that, for a quantum system whose state or evolution can be modelled on a quantum computer, tomography and spectroscopy can be interpreted as dual forms of quantum computation. Specifically, we find that the phase estimation algorithm (which underlies a quantum computer's ability to perform efficient simulations and to factorize large numbers) can be adapted for tomography or spectroscopy. This is analogous to the situation encountered in scattering experiments, in which it is possible to obtain information about both the state of the scatterer and its interactions. We provide an experimental demonstration of the tomographic application by performing a measurement of the Wigner function (a phase space distribution) of a quantum system. For this purpose, we use three qubits formed from spin-1/2 nuclei in a quantum computation involving liquid-state nuclear magnetic resonance. Fil:Miquel, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Paz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Saraceno, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00280836_v418_n6893_p59_Miquel
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Algorithms
Computer simulation
Nuclear magnetic resonance
Numerical methods
Spectroscopy
Spectrum analysis
Tomography
Quantum computation
Quantum theory
physics
spectroscopy
tomography
algorithm
article
computer system
evolution
integrated circuit
mathematical analysis
mathematical model
nuclear magnetic resonance
priority journal
probability
quantum mechanics
quantum theory
radiation scattering
spectroscopy
statistics
tomography
spellingShingle Algorithms
Computer simulation
Nuclear magnetic resonance
Numerical methods
Spectroscopy
Spectrum analysis
Tomography
Quantum computation
Quantum theory
physics
spectroscopy
tomography
algorithm
article
computer system
evolution
integrated circuit
mathematical analysis
mathematical model
nuclear magnetic resonance
priority journal
probability
quantum mechanics
quantum theory
radiation scattering
spectroscopy
statistics
tomography
Miquel, C.
Paz, J.P.
Saraceno, M.
Knill, E.
Laflamme, R.
Negrevergne, C.
Interpretation of tomography and spectroscopy as dual forms of quantum computation
topic_facet Algorithms
Computer simulation
Nuclear magnetic resonance
Numerical methods
Spectroscopy
Spectrum analysis
Tomography
Quantum computation
Quantum theory
physics
spectroscopy
tomography
algorithm
article
computer system
evolution
integrated circuit
mathematical analysis
mathematical model
nuclear magnetic resonance
priority journal
probability
quantum mechanics
quantum theory
radiation scattering
spectroscopy
statistics
tomography
description It is important to be able to determine the state of a quantum system and to measure properties of its evolution. State determination can be achieved using tomography, in which the system is subjected to a series of experiments, whereas spectroscopy can be used to probe the energy spectrum associated with the system's evolution. Here we show that, for a quantum system whose state or evolution can be modelled on a quantum computer, tomography and spectroscopy can be interpreted as dual forms of quantum computation. Specifically, we find that the phase estimation algorithm (which underlies a quantum computer's ability to perform efficient simulations and to factorize large numbers) can be adapted for tomography or spectroscopy. This is analogous to the situation encountered in scattering experiments, in which it is possible to obtain information about both the state of the scatterer and its interactions. We provide an experimental demonstration of the tomographic application by performing a measurement of the Wigner function (a phase space distribution) of a quantum system. For this purpose, we use three qubits formed from spin-1/2 nuclei in a quantum computation involving liquid-state nuclear magnetic resonance.
format JOUR
author Miquel, C.
Paz, J.P.
Saraceno, M.
Knill, E.
Laflamme, R.
Negrevergne, C.
author_facet Miquel, C.
Paz, J.P.
Saraceno, M.
Knill, E.
Laflamme, R.
Negrevergne, C.
author_sort Miquel, C.
title Interpretation of tomography and spectroscopy as dual forms of quantum computation
title_short Interpretation of tomography and spectroscopy as dual forms of quantum computation
title_full Interpretation of tomography and spectroscopy as dual forms of quantum computation
title_fullStr Interpretation of tomography and spectroscopy as dual forms of quantum computation
title_full_unstemmed Interpretation of tomography and spectroscopy as dual forms of quantum computation
title_sort interpretation of tomography and spectroscopy as dual forms of quantum computation
url http://hdl.handle.net/20.500.12110/paper_00280836_v418_n6893_p59_Miquel
work_keys_str_mv AT miquelc interpretationoftomographyandspectroscopyasdualformsofquantumcomputation
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AT saracenom interpretationoftomographyandspectroscopyasdualformsofquantumcomputation
AT knille interpretationoftomographyandspectroscopyasdualformsofquantumcomputation
AT laflammer interpretationoftomographyandspectroscopyasdualformsofquantumcomputation
AT negrevergnec interpretationoftomographyandspectroscopyasdualformsofquantumcomputation
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