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首页> 外文期刊>Physical Review, A >Exact stabilization of entangled states in finite time by dissipative quantum circuits
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Exact stabilization of entangled states in finite time by dissipative quantum circuits

机译：耗散量子电路有限时间精确稳定缠结状态

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Open quantum systems evolving according to discrete-time dynamics are capable, unlike continuous-time counterparts, to converge to a stable equilibrium in finite time with zero error. We consider dissipative quantum circuits consisting of sequences of quantum channels subject to specified quasi-locality constraints, and determine conditions under which stabilization of a pure multipartite entangled state of interest may be exactly achieved in finite time. Special emphasis is devoted to characterizing scenarios where finite-time stabilization may be achieved robustly with respect to the order of the applied quantum maps, as suitable for unsupervised control architectures. We show that if a decomposition of the physical Hilbert space into virtual subsystems is found, which is compatible with the locality constraint and relative to which the target state factorizes, then robust stabilization may be achieved by independently cooling each component. We further show that if the same condition holds for a scalable class of pure states, a continuous-time quasi-local Markov semigroup ensuring rapid mixing can be obtained. Somewhat surprisingly, we find that the commutativity of the canonical parent Hamiltonian one may associate to the target state does not directly relate to its finite-time stabilizability properties, although in all cases where we can guarantee robust stabilization, a (possibly noncanonical) commuting parent Hamiltonian may be found. Aside from graph states, quantum states amenable to finite-time robust stabilization include a class of universal resource states displaying two-dimensional symmetry-protected topological order, along with tensor network states obtained by generalizing a construction due to Bravyi and Vyalyi [Quantum Inf. Comput. 5, 187 (2005)]. Extensions to representative classes of mixed graph-product and thermal states are also discussed.
机译：根据离散时间动态发展的开放量子系统与连续时间对应物不同，与连续时间相同，可以在有限时间内收敛到零误差的有限时间。我们考虑由经受指定的准局部限制的量子通道序列组成的耗散量子电路，并确定在有限时间内可以精确地实现纯多分钟缠结的纯多分体缠结状态的条件。特殊强调专门用于表征有限时间稳定可以鲁棒地实现所应用的量子图的顺序来实现的场景，适用于无监督的对照架构。我们表明，如果发现物理希尔伯特空间分解到虚拟子系统中，则可以通过独立地冷却每个部件来实现稳健稳定的位置约束和相对于该目标状态分组的相对于稳健稳定来兼容。我们进一步证明，如果相同的条件适用于可伸缩类的纯态，则可以获得确保快速混合的连续时间准局部Markov半群。有些令人惊讶的是，我们发现规范父母汉密尔顿人的汇流可能与目标状态联系到其有限时间稳定性属性，尽管我们可以保证强大的稳定，a（可能是非甘露解）通勤父母可以找到汉密尔顿人。除了图形状态之外，Quantum状态适用于有限时间的稳定稳定，包括一类显示二维对称保护的拓扑顺序的通用资源状态，以及通过概括由于Bravyi和Vyalyi的构造而获得的张量网络状态[量子INF。计算。 5,187（2005）]。还讨论了混合图 - 产品和热状态的代表性类别的延伸。

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