2020
DOI: 10.1103/physreva.101.012349
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Entanglement scaling in quantum advantage benchmarks

Abstract: A contemporary technological milestone is to build a quantum device performing a computational task beyond the capability of any classical computer, an achievement known as quantum adversarial advantage. In what ways can the entanglement realized in such a demonstration be quantified? Inspired by the area law of tensor networks, we derive an upper bound for the minimum random circuit depth needed to generate the maximal bipartite entanglement correlations between all problem variables (qubits). This bound is l… Show more

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Cited by 4 publications
(3 citation statements)
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References 17 publications
(31 reference statements)
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“…The following section discusses the various methods and algorithms utilized in the prediction of heart-related irregularities [19] and the earlier techniques of assessing the heart disease diagnosis to assist in lowering the risk of progression. The suggested method [20] has constructed a hybrid technique based on DL for finding out whether a person has been affected by cardiac disease using CNN with Bi-LSTM.…”
Section: Literature Reviewmentioning
confidence: 99%
“…The following section discusses the various methods and algorithms utilized in the prediction of heart-related irregularities [19] and the earlier techniques of assessing the heart disease diagnosis to assist in lowering the risk of progression. The suggested method [20] has constructed a hybrid technique based on DL for finding out whether a person has been affected by cardiac disease using CNN with Bi-LSTM.…”
Section: Literature Reviewmentioning
confidence: 99%
“…In other words, the bond dimension (the dimension of the wires) in the tensor network acts to bound the maximal entanglement. Merging quantum computation with ideas from tensor networks provides new tools to quantify the entanglement that a given quantum circuit can generate [15,16].…”
Section: Introductionmentioning
confidence: 99%
“…During the development of quantum communication and quantum computation, quantum entanglement plays an increasingly important role in quantum information processing. Correspondingly, the generation of entanglement states has also been widely investigated in literature both theoretically [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] and experimentally. [17][18][19] For multi-particle entanglement, there are two major types of entangled states, the W states and the Greenberger-Horne-Zeilinger (GHZ) states.…”
Section: Introductionmentioning
confidence: 99%