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20072026
most citedDiscrete-query quantum algorithm for NAND trees

33 citations · 36 across the 6 of their papers we have counts for

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quant-ph2026

XOR Games at Full Tilt: The Hardness of Binary Nonlocal Games

Richard Cleve, Eric Culf, Aviv Taller

It is well known that the quantum value of an XOR nonlocal game, where the winning condition depends only on the XOR of the two players' output bits, may be approximated in polynom…

quant-ph2026

Lower bounds on non-local computation from controllable correlation

Richard Cleve, Alex May

Understanding entanglement cost in non-local quantum computation (NLQC) is relevant to complexity, cryptography, gravity, and other areas. This entanglement cost is largely unchara…

quant-ph2025

Improved Clifford operations in constant commutative depth

Richard Cleve, Zhiqian Ding, Luke Schaeffer

The commutative depth model allows gates that commute with each other to be performed in parallel. We show how to compute Clifford operations in constant commutative depth more eff…

quant-ph2024★ 3 cited

Linear gate bounds against natural functions for position-verification

Vahid Asadi, Richard Cleve, Eric Culf +1

A quantum position-verification scheme attempts to verify the spatial location of a prover. The prover is issued a challenge with quantum and classical inputs and must respond with…

quant-ph2007★ 33 cited

Discrete-query quantum algorithm for NAND trees

Andrew M. Childs, Richard Cleve, Stephen P. Jordan +1

Recently, Farhi, Goldstone, and Gutmann gave a quantum algorithm for evaluating NAND trees that runs in time O(sqrt(N log N)) in the Hamiltonian query model. In this note, we point…