费米子线性光学的拉格朗日表示

Classical simulation of dissipative fermionic linear optics

Fermionic linear optics is a limited form of quantum computation which is known to be efficiently simulable on a classical computer. We revisit and extend this result by enlarging the set of available computational gates: in addition to unitaries and measurements, we allow dissipative evolution governed by a Markovian master equation with linear Lindblad operators. We show that this more general form of fermionic computation is also simulable efficiently by classical means. Given a system of $N$ fermionic modes, our algorithm simulates any such gate in time $O(N^3)$ while a single-mode measure…

费米子物质波量子光学与冷原子杂质模型

Fermionic matter-wave quantum optics with cold-atom impurity models

本文研究冷原子杂质模型中的费米子物质波量子光学，探讨束缚态、发射动力学和集体耗散等范式现象的费米子类比，并揭示单杂质基态特征及多体淬火动力学中的非马尔可夫效应。

费米子线性光学与匹配门

Fermionic Linear Optics and Matchgates

费米子线性光学是有效的经典模拟。在这里，它表明，一组状态实现与费米子线性光学和粒子测量是封闭的低维李群。因此，费米线性光学和测量的弱点可以解释，并与玻色子线性光学与粒子测量的优势形成对比。对费米子线性光学的分析表明，Valiant引入的两量子比特匹配门和可模拟匹配电路产生了一个扩展的费米子线性光学算符幺半群。像这样的有效经典模拟的一个有用的解释是作为非确定性量子计算模型的模拟。提出了今后调查的问题领域。

Quantum computation from fermionic anyons on a 1D lattice

Fermionic linear optics corresponds to the dynamics of free fermions, and is known to be efficiently simulable classically. We define fermionic anyon models by deforming the fermionic algebra of creation and annihilation operators, and consider the dynamics of number-preserving, quadratic Hamiltonians on these operators. We show that any such deformation results in an anyonic linear optical model which allows for universal quantum computation.

Error mitigation by training with fermionic linear optics

Noisy intermediate-scale quantum (NISQ) computers could solve quantum-mechanical simulation problems that are beyond the capabilities of classical computers. However, NISQ devices experience significant errors which, if not corrected, can render physical quantities measured in these simulations inaccurate or meaningless. Here we describe a method of reducing these errors which is tailored to quantum algorithms for simulating fermionic systems. The method is based on executing quantum circuits in the model of fermionic linear optics, which are known to be efficiently simulable classically, to i…

再论费米子线性光学

Fermionic Linear Optics Revisited

我们提供了另一种观点的费米子线性光学的斯莱特行列式方面的有效的经典模拟。我们研究了双模测量对费米子态斯莱特数的一般影响。我们认为，大多数这样的测量是不能够（与费米子线性光学）的一个有效的精确实现的通用量子计算。我们的论点不适用于双模宇称测量，精确的量子计算成为可能，见quant-ph/0401066。