Toward simulating superstring/M-theory on a quantum computer
Toward simulating superstring/M-theory on a quantum computer
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DOI：
10.1007/jhep07(2021)140
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发表时间：
2021-07-20
影响因子：
5.4
通讯作者：
Liu, Junyu
中科院分区：
文献类型：
--
作者：
Gharibyan, Hrant;Hanada, Masanori;Liu, Junyu
我们提出了一个新的框架，在量子计算机上模拟矩阵模型。超对称矩阵模型在超弦/M-理论和引力物理中有着自然的应用，在适当的参数限制下。此外，对于Berenstein-Maldacena-Nastase（BMN）矩阵模型中的某些状态，可以在量子器件上实现与超弦/M-理论对偶的几种超对称量子场论。我们的处方包括四个步骤：正则化的希尔伯特空间，绝热状态准备，实时动力学模拟，和测量。通过在Fock空间中截断引入能量截断，对BMN矩阵模型进行正则化。我们采用Wan-Kim算法快速制备了该模型的低能本征态和热场双态。然后，我们提供了一个明确的结构，利用块编码，量子化和量子信号处理技术来模拟实时动态。最后，我们提出了一组可以在量子计算机上进行的测量和实验，以进一步理解超弦/M理论，超越分析结果。
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.