7 citations · 11 across the 11 of their papers we have counts for
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Sample-Optimal Quantum Estimators for Pure-State Trace Distance and Fidelity via Samplizer
Qisheng Wang, Zhicheng Zhang
We settle the problem of estimating the trace distance and (square root) fidelity between -qubit pure quantum states to within additive error , given their independ…
Tight Quantum Depth Lower Bound for Solving Systems of Linear Equations
Qisheng Wang, Zhicheng Zhang
Since Harrow, Hassidim, and Lloyd (2009) showed that a system of linear equations with variables and condition number can be solved on a quantum computer in $\operatorname{…
Quantum algorithms for matrix geometric means
Nana Liu, Qisheng Wang, Mark M. Wilde +1
Matrix geometric means between two positive definite matrices can be defined from distinct perspectives - as solutions to certain nonlinear systems of equations, as points along ge…
Local Test for Unitarily Invariant Properties of Bipartite Quantum States
Kean Chen, Qisheng Wang, Zhicheng Zhang
We study the power of local test for bipartite quantum states. Our central result is that, for properties of bipartite pure states, unitary invariance on one part implies an \texti…