Abstract
We propose a variational quantum algorithm to prepare ground states of 1D lattice quantum Hamiltonians specifically tailored for programmable quantum devices where interactions among qubits are mediated by Quantum Data Buses (QDB). For trapped ions with the axial Center-Of-Mass (COM) vibrational mode as single QDB, our scheme uses resonant sideband optical pulses as resource operations, which are potentially faster than off-resonant couplings and thus less prone to decoherence. The disentangling of the QDB from the qubits by the end of the state preparation comes as a byproduct of the variational optimization. We numerically simulate the ground state preparation for the Su-Schrieffer-Heeger model in ions and show that our strategy is scalable while being tolerant to finite temperatures of the COM mode.
Highlights
Realizing many-body quantum states on quantum devices offers an experimental pathway for studying the equilibrium properties of interacting lattice models [1,2,3], quench dynamics [4,5,6,7], or it can be viewed as a quantum resource, e.g., for sensing [8,9,10,11]
We demonstrate that our strategy can realize highly-accurate ground states even for Quantum Data Buses (QDB) initialized at finite temperatures
We briefly review some details of the Closed System Analog resources (CSA) strategy to highlight the differences with respect to the QDB-Matrix Product States (MPS)
Summary
Realizing many-body quantum states on quantum devices offers an experimental pathway for studying the equilibrium properties of interacting lattice models [1,2,3], quench dynamics [4,5,6,7], or it can be viewed as a quantum resource, e.g., for sensing [8,9,10,11]. Using only blue-detuned sideband optical pulses [30] as resource operations, we design the variational circuit ansatz shown, which can efficiently realize Matrix Product States (MPS), a class of tailored variational wavefunctions capable of accurately capturing the equilibrium physics of many-body quantum systems in 1D [31, 32] This ‘QDB-MPS circuit’ can incorporate various symmetries of the target model for enhanced performance, including approximate translational invariance in the bulk. We compare the results from the QDB-MPS circuit with other VQE strategies, still designed for trapped ion hardware, but using different sets of (coherent) entangling resources: (i) site-filtered Mølmer-Sørensen gates (ii) an analog quantum simulator of a long-range XXZ model [23].
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