The Unruh-DeWitt particle detector model has found success in demonstrating quantum information channels with non-zero channel capacity between qubits and quantum fields. These detector models provide the necessary framework for experimentally realizable Unruh-DeWitt quantum computers with near-perfect channel capacity. We propose spin-qubits with gate-controlled coupling to Luttinger liquids as a laboratory setting for Unruh-DeWitt detectors and explore general design constraints that underpin their feasibility in this and other settings. We present several experimental scenarios including graphene ribbons, edges states in the quantum spin Hall phase of HgTe quantum wells, and the recently discovered quantum anomalous Hall phase in transition metal dichalcogenides. Theoretically, through bosonization, we show that Unruh-DeWitt detectors can carry out quantum computations and identify when they can make perfect quantum communication channels between qubits via the Luttinger liquid. Our results point the way toward an all-to-all connected solid state quantum computer and the experimental study of quantum information in quantum fields via condensed matter physics.

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Unruh-DeWitt 量子计算机的设计约束

Unruh-DeWitt 粒子探测器模型成功地展示了量子位和量子场之间具有非零通道容量的量子信息通道。这些探测器模型为通过实验实现具有近乎完美通道容量的 Unruh-DeWitt 量子计算机提供了必要的框架。我们提出了与 Luttinger 液体进行门控耦合的自旋量子位作为 Unruh-DeWitt 探测器的实验室设置，并探索了支持其在此和其他设置中可行性的一般设计约束。我们提出了几种实验场景，包括石墨烯带、HgTe 量子阱的量子自旋霍尔相中的边缘态，以及最近发现的过渡金属二硫化物中的量子反常霍尔相。理论上，通过玻色化，我们表明 Unruh-DeWitt 探测器可以进行量子计算，并确定何时可以通过 Luttinger 液体在量子位之间建立完美的量子通信通道。我们的研究结果为实现全连接固态量子计算机以及通过凝聚态物理对量子场中的量子信息进行实验研究指明了道路。