Efficient error characterization in quantum information processing

Lévi, Benjamin; López, Cecilia C.; Emerson, Joseph; Cory, David G.

doi:10.1103/physreva.75.022314

Cited by 63 publications

(91 citation statements)

References 32 publications

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“…General schemes for suppressing decoherence have been discussed already (11). Electron spin relaxation in QDs may be overcome by polarizing the nuclear spins (12,13), but the high degree of polarization required, close to 100% (12), has not been achieved yet (14)(15)(16).…”

Section: Symmetrized Characterization Of Noisy Quantum Processesmentioning

confidence: 99%

“…This symmetrization is achieved by conjugating the noise (Fig. 2) with a unitary operator drawn randomly from the relevant symmetry group and then averaging over these random trials (14)(15)(16)(17)(18). We show below that rigorous statistical bounds guarantee that the number of experimental trials required is independent of the dimension of the group.…”

Section: Symmetrized Characterization Of Noisy Quantum Processesmentioning

confidence: 99%

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Symmetrized Characterization of Noisy Quantum Processes

Emerson

Silva

Moussa

et al. 2007

Science

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231

314

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verse order, as in this case, is the real essence of the Heisenberg uncertainty principle. Besides its fundamental importance, the experimental implementation of such a sequence of basic quantum operations is an essential tool for the full-scale engineering of a quantum light state optimized for a multitude of different tasks (15), including robust quantum communication. As any quantum operation, including non-Gaussian operations, is composed of photon additions and subtractions (i.e, it can be expressed as f ð% a; % a † Þ), our experimental results constitute a step toward the full quantum control of a field and the generation of highly entangled states (16).

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Section: Symmetrized Characterization Of Noisy Quantum Processesmentioning

confidence: 99%

Section: Symmetrized Characterization Of Noisy Quantum Processesmentioning

confidence: 99%

Symmetrized Characterization of Noisy Quantum Processes

Emerson

Silva

Moussa

et al. 2007

Science

Self Cite

231

314

View full text Add to dashboard Cite

show abstract

“…A complete characterization of the noise is useful because it allows for the determination of good error-correction schemes, and thus the possibility of reliable transmission of quantum information. Since complete process tomography is infeasible for large systems, there is growing interest in scalable methods for partially characterizing the noise affecting a quantum system [17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Characterizing quantum gates via randomized benchmarking

Gambetta²,

2012

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We describe and expand upon the scalable randomized benchmarking protocol proposed in Phys. Rev. Lett. 106, 180504 (2011) which provides a method for benchmarking quantum gates and estimating the gate-dependence of the noise. The protocol allows the noise to have weak time and gate-dependence, and we provide a sufficient condition for the applicability of the protocol in terms of the average variation of the noise. We discuss how state preparation and measurement errors are taken into account and provide a complete proof of the scalability of the protocol. We establish a connection in special cases between the error rate provided by this protocol and the error strength measured using the diamond norm distance.

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“…In ref. 33, independent twirling of individual qubits is applied to estimate features of the effective Hamiltonian governing the decoherence. In ref.…”

Section: Related Workmentioning

confidence: 99%

Symmetrization methods for characterization and benchmarking of quantum processes

Emerson¹

2008

Can. J. Phys.

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The detailed characterization of controlled quantum processes is a fundamental problem in experimental physics, and is a crucial requirement for the development of robust quantum information processing. Standard approaches for complete characterization of a quantum process require an number of experiments that grows exponentially with the number of interacting subsystems. Hence these methods are infeasible for many situations of practical interest. This paper reviews recent approaches to process estimation that overcome this problem by identifying subsets of the information that is of practical interest, and then demonstrating how this partial information can be estimated through the application of symmetrizing operations.Résumé : La caractérisation détaillée des mécanismes quantiques contrôlés est un problème fondamental en physique expérimentale et une besoin crucial dans le développement de méthodes fiables de traitement de l'information quantique. Les approches standard pour caractériser de façon complète un mécanisme quantique requièrent des expériences en nombre croissant exponentiellement avec le nombre de sous-systèmes qui y jouent un rôle. Il en ressort que ces approches sont essentiellement inutiles pour les cas d'intérêt pratique. Nous passons ici en revue les approches qui surmontent ce problème, en estimant directement de l'information partielle d'intérêt pratique par le biais d'opérations de symétrisation.[Traduit par la Rédaction]

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Efficient error characterization in quantum information processing

Cited by 63 publications

References 32 publications

Symmetrized Characterization of Noisy Quantum Processes

Symmetrized Characterization of Noisy Quantum Processes

Characterizing quantum gates via randomized benchmarking

Symmetrization methods for characterization and benchmarking of quantum processes

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