EXPONENTIAL IMPROVEMENT IN PRECISION FOR SIMULATING SPARSE HAMILTONIANS

FORUM OF MATHEMATICS SIGMA, 2017.

Cited by: 175|Views0

Abstract:

We provide a quantum algorithm for simulating the dynamics of sparse Hamiltonians with complexity sublogarithmic in the inverse error, an exponential improvement over previous methods. Specifically, we show that a d- sparse Hamiltonian H acting on n qubits can be simulated for time t with precision epsilon using O (tau(log(tau/epsilon)/lo...More

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