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Toward simulating Superstring/M-theory on a quantum computer
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Toward simulating Superstring/M-theory on a quantum computer
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We present a novel framework for simulating matrix models on a quantum computer. Supersymmetric matrix models have natural applications to superstring/M-theory and gravitational physics, in an appropriate limit of parameters. Furthermore, for certain states in the Berenstein-Maldacena-Nastase (BMN) matrix model, several supersymmetric quantum field theories dual to superstring/M-theory can be realized on a quantum device. Our prescription consists of four steps: regularization of the Hilbert space, adiabatic state preparation, simulation of real-time dynamics, and measurements. Regularization is performed for the BMN matrix model with the introduction of energy cut-off via the truncation in the Fock space. We use the Wan-Kim algorithm for fast digital adiabatic state preparation to prepare the low-energy eigenstates of this model as well as thermofield double state. Then, we provide an explicit construction for simulating real-time dynamics utilizing techniques of block-encoding, qubitization, and quantum signal processing. Lastly, we present a set of measurements and experiments that can be carried out on a quantum computer to further our understanding of superstring/M-theory beyond analytic results.
Forward citations
Cited by 2 Pith papers
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Simulating the dynamics of an SU(2) matrix model on a trapped-ion quantum computer
First digital quantum simulation of SU(2) matrix model real-time dynamics on Quantinuum H2 using Loschmidt echo, with systematic error breakdown and modest post-selection gains.
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Simulating the dynamics of an SU(2) matrix model on a trapped-ion quantum computer
First digital quantum simulation of an SU(2) bosonic matrix model on Quantinuum H2, with Loschmidt-echo dynamics and a three-way error budget showing post-selection and ZNE give only modest, non-scaling gains.
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