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Chinese Physics Letters

Quantum Gate Operations in Decoherence-Free Subspace with Superconducting Charge Qubits inside a Cavity

王艺敏, Zhou LI, 梁林梅, 李承祖

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

我们建议一个可行计划在 decoherence 免费的 subspace 完成通用的量门操作，超导的费用 qubits 在一个微波洞放了。Single-logic-qubit 门能与洞被认识到帮助了相互作用，它拥有异乎寻常的几何门操作的优点。在分系统之间的 two-logic-qubit 控制阶段门能在一个可变静电的变压器的帮助下被构造。集体 decoherence 能成功地在我们的设计得好的系统被避免。而且，为逻辑 qubits 的 GHZ 状态能容易也在这个系统被生产。

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理论物理通讯：英文版•Jan 1, 2008•0 citations
我们建议一个可行计划在 decoherence 免费的 subspace 完成通用的量门操作，超导的费用 qubits 在一个微波洞放了。Single-logic-qubit 门能与洞被认识到帮助了相互作用，它拥有异乎寻常的几何门操作的优点。在分系统之间的 two-logic-qubit 控制阶段门能在一个可变静电的变压器的帮助下被构造。集体 decoherence 能成功地在我们的设计得好的系统被避免。而且，为逻辑 qubits 的 GHZ 状态能容易也在这个系统被生产。
We propose a feasible scheme to achieve universal quantum gate operations in decoherence-free subspace with superconducting charge qubits placed in a microwave cavity. Single-logic-qubit gates can be realized with cavity assisted interaction, which possesses the advantages of unconventional geometric gate operation. The two-logic-qubit controlled-phase gate between subsystems can be constructed with the help of a variable electrostatic transformer. The collective decoherence can be successfully avoided in our well-designed system. Moreover, GHZ state for logical qubits can also be easily produced in this system.
In general, implementing a multi-logical-qubit gate by manipulating quantum states in a decoherence-free subspace (DFS) becomes more complex and difficult when increasing the number of logical qubits. In this work, we propose an idea to realize quantum gates by manipulating quantum states outside their DFS but having the states of the logical qubits remain in their DFS before and after the gate operation. This proposal has the following features: (i) because the states are manipulated outside the DFS, the multiqubit gate implementation can be simplified when compared to realizing a multiqubit gate via manipulating quantum states within the DFS, which usually requires unitary operations over a large DFS, and (ii) because the states of the logical qubits return to the DFS after the gate operation, the errors caused by decoherence during the gate operation are not accumulated for a long-running calculation, and the states of the logical qubits are immune to decoherence when they are stored. Based on this proposal, we then present a way for realizing a multi-target-qubit controlled-not gate using logical qubits encoded in a decoherence-free subspace against collective dephasing. This gate is realized by employing qutrits (three-level quantum systems) placed in a cavity or coupled to a resonator. This proposal has the following advantages: (i) the states of the logical qubits return to their DFS after the gate operation; (ii) the gate can be implemented with only a few basic operations; (iii) the gate operation time is independent of the number of logical qubits; (iv) this gate can be deterministically implemented because no measurement is needed; (v) the intermediate higher-energy level for all qutrits is not occupied during the entire operation, thus decoherence from this level is greatly suppressed; (vi) this proposal is universal and can be applied to realize the proposed gate using natural atoms or artificial atoms (e.g., quantum dots, nitrogen-vacancy centers, and various superconducting qutrits, etc.) placed in a cavity or coupled to a resonator. As an application, we also show how to apply this gate to create a Greenberger-Horne-Zeilinger (GHZ) entangled state of multiple logical qubits encoded in DFS, and further investigate the experimental feasibility for creating the GHZ state of three logical qubits in the DFS, by using six superconducting transmon qutrits coupled to a one-dimensional coplanar waveguide resonator.
由考虑内在的 decoherence 效果，我们在联合到一个单个模式的光洞的超导的费用 qubit 的交往的系统调查熵交换和纠纷。尽管内在的 decoherence 通过密度操作员的离开斜的矩阵元素的腐烂由于协调的量特征的抑制导致交往的系统的不可逆的进化，并且有，我们发现了那一显然在二部件的分系统的部分熵上影响，它剂量别破坏熵交换行为。另外，作为联合系统的纠纷的措施，同时发生的更低的界限是计算的。纠纷的进化对内在的 decoherence 的变化敏感，这被显示出。