Probabilistic Nonunitary Gate in Imaginary Time Evolution

Abstract

Simulation of quantum matters is a significant application of quantum computers. In contrast to the unitary operation which can be realized naturally on a quantum computer, the implementation of nonunitary operation, widely used in classical approaches, needs special designing. Here, by application of Grover's algorithm, we extend the probabilistic method of implementing nonunitary operation and show that it can promote success probability without fidelity decreasing. This method can be applied to problems of imaginary time evolution and contraction of tensor networks on a quantum computer.

References in corpus (10)

• The density-matrix renormalization group in the age of matrix product states
• A class of quantum many-body states that can be efficiently simulated
• Simulating Hamiltonian dynamics with a truncated Taylor series
• Efficient quantum state tomography
• Criticality, the area law, and the computational power of PEPS
• Continuous Matrix Product States for Quantum Fields
• Fixed-point quantum search with an optimal number of queries
• Non-unitary operations for ground-state calculations in near term quantum computers
• Experimental implementation of adiabatic passage between different topological orders
• Solving search problems by strongly simulating quantum circuits

Cited by in corpus (8)

• Grid-based methods for chemistry simulations on a quantum computer
• Error-resilient Monte Carlo quantum simulation of imaginary time
• Efficient quantum imaginary time evolution by drifting real time evolution: an approach with low gate and measurement complexity
• Molecular Structure Optimization based on Electrons-Nuclei Quantum Dynamics Computation
• Nonunitary Gate Operations by Dissipation Engineering
• Evaluating thermal expectation values by almost ideal sampling with Trotter gates
• Probabilistic imaginary-time evolution by using forward and backward real-time evolution with a single ancilla: first-quantized eigensolver of quantum chemistry for ground states
• Quantum State Preparation and Non-Unitary Evolution with Diagonal Operators