Encoding of linear kinetic plasma problems in quantum circuits via data compression

IF 2.1 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS
I. Novikau, I.Y. Dodin, E.A. Startsev
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引用次数: 0

Abstract

We propose an algorithm for encoding linear kinetic plasma problems in quantum circuits. The focus is on modelling electrostatic linear waves in a one-dimensional Maxwellian electron plasma. The waves are described by the linearized Vlasov–Ampère system with a spatially localized external current that drives plasma oscillations. This system is formulated as a boundary-value problem and cast in the form of a linear vector equation $\boldsymbol {A}{\boldsymbol{\psi} } = \boldsymbol {b}$ to be solved by using the quantum signal processing algorithm. The latter requires encoding of matrix $\boldsymbol {A}$ in a quantum circuit as a sub-block of a unitary matrix. We propose how to encode $\boldsymbol {A}$ in a circuit in a compressed form and discuss how the resulting circuit scales with the problem size and the desired precision.
通过数据压缩在量子电路中编码线性动力学等离子体问题
我们提出了一种在量子电路中编码线性动力学等离子体问题的算法。重点是模拟一维麦克斯韦电子等离子体中的静电线性波。静电波由线性化的弗拉索夫-安培系统描述,该系统具有空间局部化的外部电流,可驱动等离子体振荡。该系统被表述为一个边界值问题,并以线性矢量方程的形式表示 $\boldsymbol {A}{\boldsymbol{\psi} }。}= \boldsymbol {b}$,使用量子信号处理算法求解。后者需要在量子电路中将矩阵 $\boldsymbol {A}$ 编码为单元矩阵的子块。我们提出了如何在电路中以压缩形式编码 $\boldsymbol {A}$,并讨论了由此产生的电路如何随问题大小和所需精度而扩展。
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来源期刊
Journal of Plasma Physics
Journal of Plasma Physics 物理-物理:流体与等离子体
CiteScore
3.50
自引率
16.00%
发文量
106
审稿时长
6-12 weeks
期刊介绍: JPP aspires to be the intellectual home of those who think of plasma physics as a fundamental discipline. The journal focuses on publishing research on laboratory plasmas (including magnetically confined and inertial fusion plasmas), space physics and plasma astrophysics that takes advantage of the rapid ongoing progress in instrumentation and computing to advance fundamental understanding of multiscale plasma physics. The Journal welcomes submissions of analytical, numerical, observational and experimental work: both original research and tutorial- or review-style papers, as well as proposals for its Lecture Notes series.
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