2020
DOI: 10.1103/physrevb.101.014411
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Quantum computation of magnon spectra

Abstract: We demonstrate quantum computation of two-point correlation functions for a Heisenberg spin chain. Using the IBM Q 20 Tokyo machine, we find that for two sites the correlation functions produce the exact results reliably. For four sites, results from the quantum computer are noisy due to read out errors and decoherence. Nevertheless, the correlation functions retain the correct spectral information. This is illustrated in the frequency domain by accurately extracting the magnon energies from peaks in the spect… Show more

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Cited by 60 publications
(41 citation statements)
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“…Notwithstanding significant progress thanks to the development of sophisticated numerical methods [2][3][4][5][6][7] and groundbreaking experiments with cold-atom or trappedion platforms [8,9], simulations on universal quantum computers promise to yield major advancements in a multitude of research areas [10,11]. While a fault-tolerant quantum computer is still far into the future, noisy intermediate-scale quantum (NISQ) devices are available and their current capabilities have been demonstrated for various problems such as electronic structure calculations [12,13], simulations of spectral functions [14,15], measurement of entanglement [16,17], topological phase transitions [18], and out-of-equilibrium dynamics [19][20][21][22].…”
mentioning
confidence: 99%
“…Notwithstanding significant progress thanks to the development of sophisticated numerical methods [2][3][4][5][6][7] and groundbreaking experiments with cold-atom or trappedion platforms [8,9], simulations on universal quantum computers promise to yield major advancements in a multitude of research areas [10,11]. While a fault-tolerant quantum computer is still far into the future, noisy intermediate-scale quantum (NISQ) devices are available and their current capabilities have been demonstrated for various problems such as electronic structure calculations [12,13], simulations of spectral functions [14,15], measurement of entanglement [16,17], topological phase transitions [18], and out-of-equilibrium dynamics [19][20][21][22].…”
mentioning
confidence: 99%
“…The current release is focused on the real-and imaginary-time evolution of the one-dimensional, time-dependent Heisenberg model, which, by constraining certain parameters, can represent various paradigmatic materials Hamiltonians including the TFIM, the (transverse) XY model, the XXZ chain, and more. This encapsulates most of the materials simulations that have been demonstrated on quantum hardware to date, including simulations of quantum criticality [17], scattering [25], non-equilibrium dynamics [8,19,32,49,66], and coninement and entanglement dynamics [60,61], mesonic masses [60], thermal properties [7,55], and magnon spectra [21].…”
Section: Discussionmentioning
confidence: 99%
“…Recently, hybrid magnonics have attracted much attention as a new subfield of magnonics 65,67,[188][189][190] . The research on hybrid magnonics focuses on the coupling effects between magnons and other quantum systems such as microwave photons 67,191-hybrid phenomena show a new possibility to apply magnons for quantum information field 65,188,189,218 . However, most of the research on hybrid phenomena of magnons are based on uniform magnetic media.…”
Section: -2 Hybrid and Quantum Phenomena Of Magnonsmentioning
confidence: 99%