Variational preparation of finite-temperature states on a quantum computer

Sagastizabal R.; Premaratne S. P.; Klaver B. A.; Rol M. A.; Neg?rneac V.; Moreira M. S.; Zou X.; Johri S.; Muthusubramanian N.; Beekman M.; Zachariadis C.; Ostroukh V. P.; Haider N.; Bruno A.; Matsuura A. Y.; DiCarlo L.

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Variational preparation of finite-temperature states on a quantum computer

机译：量子计算机上有限温度状态的变分

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The preparation of thermal equilibrium states is important for the simulation of condensed matter and cosmology systems using a quantum computer. We present a method to prepare such mixed states with unitary operators and demonstrate this technique experimentally using a gate-based quantum processor. Our method targets the generation of thermofield double states using a hybrid quantum-classical variational approach motivated by quantum-approximate optimization algorithms, without prior calculation of optimal variational parameters by numerical simulation. The fidelity of generated states to the thermal-equilibrium state smoothly varies from 99 to 75% between infinite and near-zero simulated temperature, in quantitative agreement with numerical simulations of the noisy quantum processor with error parameters drawn from experiment.

机译：热均衡状态的制备对于使用量子计算机模拟冷凝物和宇宙学系统是重要的。我们提出了一种用整体操作员制定这种混合状态的方法，并使用基于栅极的量子处理器实验实验证明该技术。我们的方法使用由量子近似优化算法的混合量子 - 经典变分方法来实现Thermofield双状态的产生，而无需通过数值模拟来实现最佳变分参数。在无限和零零模拟温度之间的定量协议中，生成状态与热平衡状态的保真度在无限和零零模拟温度之间平滑地变化，与从实验中汲取的误差参数的噪声量级的数值模拟。

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《Npj Quantum Information》 |2021年第1期|共7页
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Sagastizabal R.; Premaratne S. P.; Klaver B. A.; Rol M. A.; Neg?rneac V.; Moreira M. S.; Zou X.; Johri S.; Muthusubramanian N.; Beekman M.; Zachariadis C.; Ostroukh V. P.; Haider N.; Bruno A.; Matsuura A. Y.; DiCarlo L.;
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1. Quantum Chemistry on Quantum Computers: A Method for Preparation of Multiconfigurational Wave Functions on Quantum Computers without Performing Post-Hartree–Fock Calculations [J] . Kenji Sugisaki, Shigeaki Nakazawa, Kazuo Toyota, ACS Central Science . 2019,第1期

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3. Universal finite-temperature properties of a three-dimensional quantum antiferromagnet in the vicinity of a quantum critical point [J] . J. Oitmaa, Y. Kulik, O. P. Sushkov Physical review . 2012,第14期

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4. Finite-temperature quantum billiards [C] . U.R. Salomov, D.U. Matrasulov, F.C. Khanna, NATO Advanced Research Workshop on Non-Linear Dynamics and Fundamental Interactions . 2006

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5. Finite-Temperature Green's Function Methods for ab-initio Quantum Chemistry: Thermodynamics, Spectra, and Quantum Embedding [D] . Welden, Alicia Rae 2018

机译：从头开始的量子化学的有限温度格林函数方法：热力学，光谱和量子嵌入
6. Quantum Chemistry on Quantum Computers: A Method forPreparation of Multiconfigurational Wave Functions on Quantum Computerswithout Performing Post-Hartree–Fock Calculations [O] . Kenji Sugisaki, *, Shigeaki Nakazawa, 2019

机译：量子计算机上的量子化学：一种方法在量子计算机上准备多配置波函数不执行后Hartree-Fock计算
7. Quantum Chemistry on Quantum Computers: A Method for Preparation of Multiconfigurational Wave Functions on Quantum Computers without Performing Post-Hartree–Fock Calculations [O] . Kenji Sugisaki, Shigeaki Nakazawa, Kazuo Toyota, 2018

机译：量子计算机上的量子化学：一种在不执行Hartree-Fock计算后的量子计算机上制备多功能性波函数的方法

Variational preparation of finite-temperature states on a quantum computer

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