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20032026
most citedCharacterization of pure quantum states of multiple qubits using the Groverian entanglement measure

48 citations · 235 across the 17 of their papers we have counts for

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quant-ph2026

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods

Elies Gil-Fuster, Matan Ninio, Lennart Bittel +4

Optimization problems are among the leading candidates for industrially relevant quantum advantage. Decoded quantum interferometry (DQI) has been proposed to tackle approximate opt…

quant-ph2010★ 12 cited

Entanglement of Periodic States, the Quantum Fourier Transform and Shor's Factoring Algorithm

Yonatan Most, Yishai Shimoni, Ofer Biham

The preprocessing stage of Shor's algorithm generates a class of quantum states referred to as periodic states, on which the quantum Fourier transform is applied. Such states also…

quant-ph2007★ 16 cited

Formation of Multipartite Entanglement Using Random Quantum Gates

Yonatan Most, Yishai Shimoni, Ofer Biham

The formation of multipartite quantum entanglement by repeated operation of one and two qubit gates is examined. The resulting entanglement is evaluated using two measures: the ave…

quant-ph2007

Groverian Entanglement Measure of Pure Quantum States with Arbitrary Partitions

Yishai Shimoni, Ofer Biham

The Groverian entanglement measure of pure quantum states of qubits is generalized to the case in which the qubits are divided into any parties and the entanglement b…

quant-ph2005★ 37 cited

Entangled Quantum States Generated by Shor's Factoring Algorithm

Yishai Shimoni, Daniel Shapira, Ofer Biham

The intermediate quantum states of multiple qubits, generated during the operation of Shor's factoring algorithm are analyzed. Their entanglement is evaluated using the Groverian m…

quant-ph2005★ 33 cited

The Groverian Measure of Entanglement for Mixed States

Daniel Shapira, Yishai Shimoni, Ofer Biham

The Groverian entanglement measure introduced earlier for pure quantum states [O. Biham, M.A. Nielsen and T. Osborne, Phys. Rev. A 65, 062312 (2002)] is generalized to the case of…