Matrix rearrangement approach for the entangling power with mixed qudit systems

多级量子信息载体在量子比特空间中的常规捕获离子纠缠门作用分析

Analysis of the action of conventional trapped-ion entangling gates in qudit space

本文分析了多级量子系统中常规捕获离子纠缠门的相位作用，提出补偿方法以提高门的鲁棒性和电路分解效率。

通过多量子比特纠缠门实现高效的电路压缩

Efficient circuit compression by multiqudit entangling gates in linear optical quantum computation

本文提出利用多量子比特纠缠门实现高效电路压缩，通过两种方案减少非本地门数量并提高成功率，提升线性光学量子计算的可扩展性。

Universal quantum multi-qubit entangling gates with auxiliary spaces

Universal quantum entangling gates are a crucial building block in the large-scale quantum computation and quantum communication, and it is an important task to find simple ways to implement them. Here an effective quantum circuit for the implementation of a controlled-NOT (CNOT) gate is constructed by introducing a non-computational quantum state in the auxiliary space. Furthermore, the method is extended to the construction of a general n-control-qubit Toffoli gate with (2n-1) qubit-qudit gates and (2n-2) single-qudit gates. Based on the presented quantum circuits, the polarization CNOT and …

Matrix realignment and partial transpose approach to entangling power of quantum evolutions

Based on the matrix realignment and partial transpose, we develop an approach to entangling power and operator entanglement of quantum unitary operators. We demonstrate efficiency of the approach by studying several unitary operators on qudits, and indicate that these two matrix rearrangements are not only powerful for studying separability problem of quantum states, but also useful in studying entangling capabilities of quantum operators.

heralded 高维光子-光子量子门

Heralded High-Dimensional Photon-Photon Quantum Gate

本文提出了一种实现高维光子-光子量子门的协议，通过四维qudit-qudit CPF门实验验证，展示了高维光子信息处理的进展。

利用量子最优控制实现Qudit纠缠门

Qudit entanglers using quantum optimal control

本文利用连续Lie代数控制与数字Lie群控制两种量子最优控制方法，在碱土金属原子核自旋编码的qudit中借助Rydberg阻塞效应高效生成高保真纠缠门，并展示了$d=2$到$d=10$范围内的可行性及具体保真度结果。

Lower bounds for communication capacities of two-qudit unitary operations

We show that entangling capacities based on the Jamiolkowski isomorphism may be used to place lower bounds on the communication capacities of arbitrary bipartite unitaries. Therefore, for these definitions, the relations which have been previously shown for two-qubit unitaries also hold for arbitrary dimensions. These results are closely related to the theory of the entanglement-assisted capacity of channels. We also present more general methods for producing ensembles for communication from initial states for entanglement creation.

Implementation of controlled multi-qudit operations for a solid-state quantum computer based on charge qudits

We consider a mechanism to generate controllable qudit-qudit interactions in a charge-position paradigm for a quantum computer, through the use of auxiliary states. By controlling the tunneling rates onto these auxiliaries from the qudits proper, we can controllably switch the entangling operations. We consider a practical architecture in which to realize such a computer and examine the associated Hilbert space dimension.

中性原子阵列中鲁棒的量子态控制与纠缠

Robust Control and Entanglement of Qudits in Neutral Atom Arrays

中性原子阵列中提出了一种高效控制和纠缠qudits的方案，通过优化脉冲实现鲁棒的量子门操作，为近期内的量子计算提供高保真度的实现路径。

Entangling Power of Permutations

The notion of entangling power of unitary matrices was introduced by Zanardi, Zalka and Faoro [PRA, 62, 030301]. We study the entangling power of permutations, given in terms of a combinatorial formula. We show that the permutation matrices with zero entangling power are, up to local unitaries, the identity and the swap. We construct the permutations with the minimum nonzero entangling power for every dimension. With the use of orthogonal latin squares, we construct the permutations with the maximum entangling power for every dimension. Moreover, we show that the value obtained is maximum over…

Quantum Computing with Parafermions

$\mathbb{Z}_d$ Parafermions are exotic non-Abelian quasiparticles generalizing Majorana fermions, which correspond to the case $d=2$. In contrast to Majorana fermions, braiding of parafermions with $d>2$ allows to perform an entangling gate. This has spurred interest in parafermions and a variety of condensed matter systems have been proposed as potential hosts for them. In this work, we study the computational power of braiding parafermions more systematically. We make no assumptions on the underlying physical model but derive all our results from the algebraical relations that define parafer…