Matches in SemOpenAlex for { <https://semopenalex.org/work/W4317547660> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W4317547660 abstract "An important step in developing multi-qubit gates is to construct efficient benchmarking protocols for them. In our previous paper (arXiv: 2210.04330), we developed metrological protocols to measure the reduced Choi matrix i.e., the completely positive (CP) maps induced on a subset S of the qubits, by the multi-qubit gate. Here, we show a set of classically verifiable properties that the Choi matrix satisfies if it is a reduction of a multi-qubit unitary and use them to develop benchmarks. We identify three types of errors that affect the implementation of a multi-qubit unitary, based on their mathematical properties and physical origin. Although a target multi-qubit gate is a unitary operator, errors turn it into a general completely positive (CP) map. Errors due to coupling to a thermal bath result in the multi-qubit gate being CP-divisible (Markovian), deviating from a unitary. The reduced Choi matrix of a multi-qubit gate has a property known as double stochasticity, which is violated in the presence of Markovian errors. We construct a benchmark using double-stochasticity violation and show that it is sensitive to coupling to any thermal bath at a finite temperature. Further, errors due to shot-to-shot fluctuations result in a non-markovian, i.e., CP-indivisible quantum process. We prove a new property, which we call the rank property of the reduced Choi matrix, the violation of which implies a CP-indivisible error. A third category of errors comes from systematics in the implementation of a multi-qubit gate, resulting in no deviation from unitarity. We refer to this as unitary errors. This corresponds to the most challenging type of error to benchmark. We develop a partial-benchmarking protocol for such errors using symmetries of the multi-qubit gate being applied." @default.
- W4317547660 created "2023-01-20" @default.
- W4317547660 creator A5037679165 @default.
- W4317547660 date "2023-01-17" @default.
- W4317547660 modified "2023-09-29" @default.
- W4317547660 title "Benchmarking multi-qubit gates -- II: Computational aspects" @default.
- W4317547660 doi "https://doi.org/10.48550/arxiv.2301.07109" @default.
- W4317547660 hasPublicationYear "2023" @default.
- W4317547660 type Work @default.
- W4317547660 citedByCount "0" @default.
- W4317547660 crossrefType "posted-content" @default.
- W4317547660 hasAuthorship W4317547660A5037679165 @default.
- W4317547660 hasBestOaLocation W43175476601 @default.
- W4317547660 hasConcept C104317684 @default.
- W4317547660 hasConcept C106487976 @default.
- W4317547660 hasConcept C11413529 @default.
- W4317547660 hasConcept C114614502 @default.
- W4317547660 hasConcept C121332964 @default.
- W4317547660 hasConcept C127413603 @default.
- W4317547660 hasConcept C131584629 @default.
- W4317547660 hasConcept C158448853 @default.
- W4317547660 hasConcept C159985019 @default.
- W4317547660 hasConcept C17020691 @default.
- W4317547660 hasConcept C17744445 @default.
- W4317547660 hasConcept C184720557 @default.
- W4317547660 hasConcept C185592680 @default.
- W4317547660 hasConcept C192562407 @default.
- W4317547660 hasConcept C199539241 @default.
- W4317547660 hasConcept C203087015 @default.
- W4317547660 hasConcept C2780009758 @default.
- W4317547660 hasConcept C33923547 @default.
- W4317547660 hasConcept C41008148 @default.
- W4317547660 hasConcept C55493867 @default.
- W4317547660 hasConcept C58849907 @default.
- W4317547660 hasConcept C62520636 @default.
- W4317547660 hasConcept C67820243 @default.
- W4317547660 hasConcept C77088390 @default.
- W4317547660 hasConcept C78519656 @default.
- W4317547660 hasConcept C84114770 @default.
- W4317547660 hasConcept C86339819 @default.
- W4317547660 hasConceptScore W4317547660C104317684 @default.
- W4317547660 hasConceptScore W4317547660C106487976 @default.
- W4317547660 hasConceptScore W4317547660C11413529 @default.
- W4317547660 hasConceptScore W4317547660C114614502 @default.
- W4317547660 hasConceptScore W4317547660C121332964 @default.
- W4317547660 hasConceptScore W4317547660C127413603 @default.
- W4317547660 hasConceptScore W4317547660C131584629 @default.
- W4317547660 hasConceptScore W4317547660C158448853 @default.
- W4317547660 hasConceptScore W4317547660C159985019 @default.
- W4317547660 hasConceptScore W4317547660C17020691 @default.
- W4317547660 hasConceptScore W4317547660C17744445 @default.
- W4317547660 hasConceptScore W4317547660C184720557 @default.
- W4317547660 hasConceptScore W4317547660C185592680 @default.
- W4317547660 hasConceptScore W4317547660C192562407 @default.
- W4317547660 hasConceptScore W4317547660C199539241 @default.
- W4317547660 hasConceptScore W4317547660C203087015 @default.
- W4317547660 hasConceptScore W4317547660C2780009758 @default.
- W4317547660 hasConceptScore W4317547660C33923547 @default.
- W4317547660 hasConceptScore W4317547660C41008148 @default.
- W4317547660 hasConceptScore W4317547660C55493867 @default.
- W4317547660 hasConceptScore W4317547660C58849907 @default.
- W4317547660 hasConceptScore W4317547660C62520636 @default.
- W4317547660 hasConceptScore W4317547660C67820243 @default.
- W4317547660 hasConceptScore W4317547660C77088390 @default.
- W4317547660 hasConceptScore W4317547660C78519656 @default.
- W4317547660 hasConceptScore W4317547660C84114770 @default.
- W4317547660 hasConceptScore W4317547660C86339819 @default.
- W4317547660 hasLocation W43175476601 @default.
- W4317547660 hasOpenAccess W4317547660 @default.
- W4317547660 hasPrimaryLocation W43175476601 @default.
- W4317547660 hasRelatedWork W1786027839 @default.
- W4317547660 hasRelatedWork W1964458551 @default.
- W4317547660 hasRelatedWork W1992157318 @default.
- W4317547660 hasRelatedWork W2026104388 @default.
- W4317547660 hasRelatedWork W2151427574 @default.
- W4317547660 hasRelatedWork W2302598623 @default.
- W4317547660 hasRelatedWork W2741301368 @default.
- W4317547660 hasRelatedWork W2949389746 @default.
- W4317547660 hasRelatedWork W4287021198 @default.
- W4317547660 hasRelatedWork W1964036119 @default.
- W4317547660 isParatext "false" @default.
- W4317547660 isRetracted "false" @default.
- W4317547660 workType "article" @default.