Holographic Simulation of Correlated Electrons on a Trapped-Ion Quantum Processor
Holographic Simulation of Correlated Electrons on a Trapped-Ion Quantum Processor
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DOI：
10.1103/prxquantum.3.030317
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发表时间：
2021-12
期刊：
影响因子：
9.7
通讯作者：
Daoheng Niu;R. Haghshenas;Yuxuan Zhang;M. Foss-Feig;Garnet Kin-Lic Chan;Andrew C. Potter
中科院分区：
文献类型：
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作者：
Daoheng Niu;R. Haghshenas;Yuxuan Zhang;M. Foss-Feig;Garnet Kin-Lic Chan;Andrew C. Potter
我们开发了全息量子模拟技术来制备量子矩阵乘积态（qMPS）形式的相关电子基态，使用的量子位数远远少于所代表的轨道数。我们的方法从全息技术开始，准备一个压缩近似的电子平均场基态，称为费米子高斯矩阵乘积态（GMPS），与现有技术相比，量子比特和（在选择情况下门）资源的多项式减少。相关性，然后介绍了通过增加GMPS电路的变分技术，我们表示GMPS+X。我们证明了这种方法Quantinuum的系统模型H1捕获离子量子处理器的1 $d $模型相关的金属和莫特绝缘状态。专注于$1d$费米-哈伯德链作为基准，我们表明，GMPS+X方法忠实地捕捉相关的电子状态的物理，包括莫特绝缘体和相关的Luttinger液体金属，使用少得多的参数比问题不可知的变分电路。
We develop holographic quantum simulation techniques to prepare correlated electronic ground states in quantum matrix product state (qMPS) form, using far fewer qubits than the number of orbitals represented. Our approach starts with a holographic technique to prepare a compressed approximation to electronic mean-field ground-states, known as fermionic Gaussian matrix product states (GMPS), with a polynomial reduction in qubit- and (in select cases gate-) resources compared to existing techniques. Correlations are then introduced by augmenting the GMPS circuits in a variational technique which we denote GMPS+X. We demonstrate this approach on Quantinuum's System Model H1 trapped-ion quantum processor for 1$d$ models of correlated metal and Mott insulating states. Focusing on the $1d$ Fermi-Hubbard chain as a benchmark, we show that GMPS+X methods faithfully capture the physics of correlated electron states, including Mott insulators and correlated Luttinger liquid metals, using considerably fewer parameters than problem-agnostic variational circuits.