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Resource Theory of Quantum Memories and Their Faithful Verification with Minimal Assumptions

机译：量子记忆资源理论及其具有最小假设的忠实验证

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We provide a complete set of game-theoretic conditions equivalent to the existence of a transformation from one quantum channel into another one, by means of classically correlated preprocessing and postprocessing maps only. Such conditions naturally induce tests to certify that a quantum memory is capable of storing quantum information, as opposed to memories that can be simulated by measurement and state preparation (corresponding to entanglement-breaking channels). These results are formulated as a resource theory of genuine quantum memories (correlated in time), mirroring the resource theory of entanglement in quantum states (correlated spatially). As the set of conditions is complete, the corresponding tests are faithful, in the sense that any non-entanglement-breaking channel can be certified. Moreover, they only require the assumption of trusted inputs, known to be unavoidable for quantum channel verification. As such, the tests we propose are intrinsically different from the usual process tomography, for which the probes of both the input and the output of the channel must be trusted. An explicit construction is provided and shown to be experimentally realizable, even in the presence of arbitrarily strong losses in the memory or detectors.
机译：我们通过经典相关的预处理和后处理地图，提供了一套完整的游戏理论条件，其等于从一个量子信道的变换到另一个量。这种条件自然地诱导测试以证明量子存储器能够存储量子信息，而不是可以通过测量和状态准备（对应于缠结断路器）来模拟的存储器。将这些结果制定为真正量子存储器的资源理论（及时相关），镜像量子态的缠结资源理论（在空间相关）。随着条件的完整组成，相应的测试是忠诚的，从某种意义上可以证明任何非纠缠破坏信道。此外，它们仅需要假设可信输入，已知对量子信道验证是不可避免的。因此，我们提出的测试与通常的过程断层扫描有关的测试，必须信任输入和通道的输出的探针。即使在记忆或探测器中的任意强烈的损失存在下，也提供了明确的结构并显示出实验可实现。

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