Proceedings of the 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021) 2022
DOI: 10.22323/1.396.0153
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Quantum computing for lattice supersymmetry

Abstract: Quantum computing promises the possibility of studying the real-time dynamics of nonperturbative quantum field theories while avoiding the sign problem that obstructs conventional lattice approaches. Current and near-future quantum devices are severely limited by noise, making investigations of simple low-dimensional lattice systems ideal testbeds for algorithm development. Considering simple supersymmetric systems, such as supersymmetric quantum mechanics with different superpotentials, allows for the analysi… Show more

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Cited by 6 publications
(7 citation statements)
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“…Apart from the SYK model, there are some recent works on Hamiltonian simulation of certain gauge theories, which are also based on Trotterization of the Hamiltonian [215][216][217][218][219][220][221][222][223][224]. It is possible to construct the ground state for these systems, and measure some observables, via a mapping to a qubit system [215].…”
Section: Quantum Simulation Of Many-body Modelsmentioning
confidence: 99%
“…Apart from the SYK model, there are some recent works on Hamiltonian simulation of certain gauge theories, which are also based on Trotterization of the Hamiltonian [215][216][217][218][219][220][221][222][223][224]. It is possible to construct the ground state for these systems, and measure some observables, via a mapping to a qubit system [215].…”
Section: Quantum Simulation Of Many-body Modelsmentioning
confidence: 99%
“…They are simple enough that lattice regularization may not even be required to analyze them -Refs. [26, 28-30, 32, 35, 36] instead employ a gauge-fixed Monte Carlo approach with a hard momentum cutoff, and prospects for quantum computing are currently being explored [7,8,49,53,54]. Another aspect of this simplicity is the proposal that Q = 16 SYM QM can be 'ungauged' to produce a scalar-fermion system with SU(N ) global symmetry, with both the gauged and ungauged models flowing to the same theory in the IR [47,52,55].…”
Section: A 0+1 Dimensionsmentioning
confidence: 99%
“…[109] suggests might occur for this theory. While SSB is also being explored for supersymmetric QM in 0+1 dimensions [5][6][7][110][111][112], this can be a truly dynamical process in two dimensions [113,114], rather than being determined by the superpotential. We will revisit SSB in the context of the sign problem in Sec.…”
Section: B 1+1 Dimensionsmentioning
confidence: 99%
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“…Here we investigate the N = 1 Wess-Zumino model in 1+1 dimensions, building on our prior analyses of 0+1-dimensional supersymmetric quantum mechanics [6]. This is arguably the simplest supersymmetric quantum field theory, and has previously been the subject of lattice investigations from a variety of approaches.…”
Section: Introductionmentioning
confidence: 99%