5 papers · 1 filter
Optimal cloning of mixed states
Marco Fanizza, Dmitry Grinko, Thilo Scharnhorst +1
We consider the problem of approximate cloning of quantum states: given copies of an unknown state , prepare an -copy state with high fidel…
Towards Heisenberg Scaling: Measurement-Efficient Non-Orthogonal Quantum Eigensolver
Hang Ren, Yipei Zhang, Thilo Scharnhorst +1
The Non-Orthogonal Quantum Eigensolver (NOQE) provides an accurate framework for electronic-structure calculations, but the estimation of its Hamiltonian and overlap matrix element…
Nonasymptotic bounds for quantum purity amplification
Thilo Scharnhorst, Jack Spilecki, John Wright
In quantum purity amplification, one is given copies of a noisy quantum state and asked to prepare copies of its principal eigenstate $|v_d\r…
Optimal lower bounds for quantum state tomography
Thilo Scharnhorst, Jack Spilecki, John Wright
We show that copies are necessary to learn a rank mixed state up to error in trace distance. This matches…
Optimal schedule of multi-channel quantum Zeno dragging with application to solving the k-SAT problem
Yipei Zhang, Alain Sarlette, Philippe Lewalle +3
Quantum Zeno dragging enables the preparation of common eigenstates of a set of observables by frequent measurement and adiabatic-like modulation of the measurement basis. In this…