Projected Cooling Algorithm for Quantum Computation

Abstract

In the current era of noisy quantum devices, there is a need for quantum algorithms that are efficient and robust against noise. Towards this end, we introduce the projected cooling algorithm for quantum computation. The projected cooling algorithm is able to construct the localized ground state of any Hamiltonian with a translationally-invariant kinetic energy and interactions that vanish at large distances. The term "localized" refers to localization in position space. The method can be viewed as the quantum analog of evaporative cooling. We start with an initial state with support over a compact region of a large volume. We then drive the excited quantum states to disperse and measure the remaining portion of the wave function left behind. For the nontrivial examples we consider here, the improvement over other methods is substantial. The only additional resource required is performing the operations in a volume significantly larger than the size of the localized state. These characteristics make the projected cooling algorithm a promising tool for calculations of self-bound systems such as atomic nuclei.

arXiv comment12 pages and 3 figures in the main text, 7 pages in the supplemental materials, final version to appear Physics Letters B

References in corpus (15)

• A variational eigenvalue solver on a quantum processor
• A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
• Preparation of Entangled States by Quantum Markov Processes
• Simulation of Many-Body Fermi Systems on a Universal Quantum Computer
• Quantum Computation by Adiabatic Evolution
• Quantum measurements and the Abelian Stabilizer Problem
• Cloud Quantum Computing of an Atomic Nucleus
• Lattice simulations for few- and many-body systems
• Algorithmic Cooling and Scalable NMR Quantum Computers
• Ab initio alpha-alpha scattering
• Essential elements for nuclear binding
• Demon-like Algorithmic Quantum Cooling and its Realization with Quantum Optics
• Ground States via Spectral Combing on a Quantum Computer
• Projective Cooling for the transverse Ising model
• Time fractals and discrete scale invariance with trapped ions

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• Toward Quantum Simulations of ${\mathbb{Z}}_2$ Gauge Theory Without State Preparation
• Nearly optimal quantum algorithm for generating the ground state of a free quantum field theory
• Quantum Algorithms for Open Lattice Field Theory
• Projective Cooling for the transverse Ising model
• Quantum Computing for Heavy Quarkonium Spectroscopy
• Boltzmann Distributions on a Quantum Computer via Active Cooling
• Quantum techniques for eigenvalue problems
• Metropolis-style random sampling of quantum gates for the estimation of low-energy observables
• Identification of a natural fieldlike entanglement resource in trapped-ion chains
• Toward scalable quantum computations of atomic nuclei