Luis Santos, Dagmar Bruss
We propose a protocol, based on entanglement procedures recently suggested by [D. Jaksch et al., Phys. Rev. Lett. 82, 1975 (1999)], which allows the teleportation of an unknown state of a neutral atom in an optical lattice to another atom in another site of the lattice, without any irreversible detection.
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Quantum operations provide a general description of the state changes allowed by quantum mechanics. Simple necessary and sufficient conditions for an ideal quantum operation to be reversible by a unitary operation are derived in this paper. These results generalize recent work on reversible measurements by Mabuchi and Zoller [Phys. Rev. Lett. {\bf 76}, 3108 (1996)]. Quantum teleportation can be understood as a special case of the problem of reversing quantum operations. We characterize completely teleportation schemes of the type proposed by Bennett {\it et al.} [Phys. Rev. Lett. {\bf 70}, 189…
This paper describes a scheme, through which the quantum information as well as the structural information of a time-reversal invariant system can be teleported over a distance. I show that my teleportation scheme can be viewed as a form of reversible purification process by repeated interactions with an auxiliary quantum system.
Quantum operations provide a general description of the state changes allowed by quantum mechanics. The reversal of quantum operations is important for quantum error-correcting codes, teleportation, and reversing quantum measurements. We derive information-theoretic conditions and equivalent algebraic conditions that are necessary and sufficient for a general quantum operation to be reversible. We analyze the thermodynamic cost of error correction and show that error correction can be regarded as a kind of ``Maxwell demon,'' for which there is an entropy cost associated with information obtain…
High-fidelity and Fault-tolerant Teleportation of a Logical Qubit using Transversal Gates and Lattice Surgery on a Trapped-ion Quantum Computer
本研究在Quantinuum H2囚禁离子量子处理器上首次演示了Steane码的容错态隐形传态，使用横向门和格点手术协议实现了高达0.989(2)的逻辑过程保真度。
Neutral atoms excited to Rydberg states can interact with each other via dipole-dipole interaction, which results in a physical phenomenon named Rydberg blockade mechanism. The effect attracts much attention due to its potential applications in quantum computation and quantum simulation. Quantum teleportation has been the core protocol in quantum information science playing a key role in efficient long-distance quantum communication. Here, we first propose the implementation of teleportation scheme with neutral atoms via Rydberg blockade, in which the entangled states of qubits can readily be …
Magic teleportation with generalized lattice surgery
提出一种无需蒸馏的广义晶格手术方案，通过横向执行非克利福德门并逻辑级隐形传态至主电路，集成两种QEC码，将开销从乘法降为加法，完善通用门集。
Scaling roadmap for modular trapped-ion QEC and lattice-surgery teleportation
本文研究了模块化囚离子量子纠错与晶格手术传送的扩展路线，通过比较不同架构性能，确定集成光子学连接为长期扩展的最佳方案。
An Ising-inspired numerical model is developed to study spontaneous quantum teleportation in a quenched spin lattice. Quantum teleportation is an operation that can, using entangled pairs of particles, transport a quantum state across arbitrary distances with high fidelity. In doing so, it destroys the state in one location and relocates it to another. In this context, teleportation serves as a long range interaction that randomly introduces correlations and disorder into a lattice. In addition, different Bell state projection and entangled pair swapping models are also explored, as are the ef…
We describe a reversible quantum interface between an optical and a microwave field using a hybrid device based on their common interaction with a micro-mechanical resonator in a superconducting circuit. We show that, by employing state-of-the-art opto-electro-mechanical devices, one can realise an effective source of (bright) two-mode squeezing with an optical idler (signal) and a microwave signal, which can be used for high-fidelity transfer of quantum states between optical and microwave fields by means of continuous variable teleportation.
Lattice surgery-based logical state teleportation via noisy links
本文研究了基于格手术的逻辑态隐形传态协议在表面码补丁与链接区域不同错误率下的可纠正性相图，发现交叉区域内阈值线随位置间隔呈幂律衰减，并证明链接区域可容忍远高于补丁主体的噪声率。
Twenty-one characterizations of reversible quantum channels
本研究针对有限维希尔伯特空间上不同输入输出维度的可逆量子信道，从多视角给出二十一种等价刻画，推导Choi态的三种等价表示，为相关应用提供综合框架。
A protocol of quantum communication is proposed in terms of the multi-qubit quantum teleportation through cluster states (Phys. Rev. Lett. \textbf{86}, 910 (2001)). Extending the cluster state based quantum teleportation on the basic unit of three qubits (or qudits), the corresponding multi-qubit network is constructed for both the qubits and qudits (multi-level) cases. The classical information costs to complete this communication task is also analyzed. It is also shown that this quantum communication protocol can be implemented in the spin-spin system on lattices.
In this work, we study the local distinguishability of maximally entangled states (MESs). In particular, we are concerned with whether any fixed number of MESs can be locally distinguishable for sufficiently large dimensions. Fan and Tian \emph{et al.} have already obtained two satisfactory results for the generalized Bell states (GBSs) and the qudit lattice states when applied to prime or prime power dimensions. We construct a general twist-teleportation scheme for any orthonormal basis with MESs that is inspired by the method used in [Phys. Rev. A \textbf{70}, 022304 (2004)]. Using this tele…
Bidirectional quantum teleportation using quantum walks
本文提出利用量子 walks 实现单个 qubit 的双向 teleportation，并探讨了两种不同的两个 qubit teleportation 方法，最终证明两种方案结果一致。
We propose a quantum generalisation of a classical neural network. The classical neurons are firstly rendered reversible by adding ancillary bits. Then they are generalised to being quantum reversible, i.e.\ unitary. (The classical networks we generalise are called feedforward, and have step-function activation functions.) The quantum network can be trained efficiently using gradient descent on a cost function to perform quantum generalisations of classical tasks. We demonstrate numerically that it can: (i) compress quantum states onto a minimal number of qubits, creating a quantum autoencoder…
Lattice surgery for near-term experimental logical qubit entanglement creation in planar architectures
本文详细描述了基于晶格手术的表面码逻辑量子比特间的逻辑隐形传态协议，探讨了超导架构中的模块化约束、序列决策逻辑和接口区域优化，并通过仿真展示了近期可实现的容错量子计算改进。
Quantum Energy Teleportation Across Lattice and Continuum
研究量子能量传送在连续场论与格点多体系统间的关联，通过大规模Thirring模型揭示中性电流区与带电区的差异。
We present a general method for finding loss-tolerant teleportation on large, entangled stabilizer states using only single-qubit measurements, known as \emph{stabilizer pathfinding} (SPF). For heralded loss, SPF is shown to generate optimally loss-tolerant measurement patterns on any given stabilizer state. Furthermore, SPF also provides highly loss-tolerant teleportation strategies when qubit loss is unheralded. We provide a fast algorithm for SPF that updates continuously as a state is generated and measured, which is therefore suitable for real-time implementation on a quantum-computing de…
Entanglement-invertible channels
本研究推广了Werner的紧约束量子隐形传态与密集编码方案分类，移除维度限制，提出并分类了纠缠可逆信道，证明其等价于量子组合数学中的量子双射，可通过量子置换群表示理论刻画。
We define quantum cellular automata as infinite quantum lattice systems with discrete time dynamics, such that the time step commutes with lattice translations and has strictly finite propagation speed. In contrast to earlier definitions this allows us to give an explicit characterization of all local rules generating such automata. The same local rules also generate the global time step for automata with periodic boundary conditions. Our main structure theorem asserts that any quantum cellular automaton is structurally reversible, i.e., that it can be obtained by applying two blockwise unitar…
As sensor nodes are deployed anywhere in a wireless sensor network, hence their communication can be easily monitored. In these networks, message protection and node identification are very issues. Hence, security of large scale such networks requires efficient key distribution and management mechanisms. Quantum cryptography and particularly quantum key distribution is such a technique that allocates secure keys only for short distances. While not completely secure, it offers huge advantages over traditional methods by the use of entanglement swapping and quantum teleportation. Reversible logi…
Timelike Quantum Energy Teleportation in the Nambu-Jona-Lasinio Model
在1+1维NJL模型中提出类时量子能量隐形传态协议，利用局域探测器与费米子场耦合，仅通过经典信息传递实现能量提取，并通过格点量子电路模拟验证，为相互作用量子场论中的QET研究及量子硬件实验铺平道路。
Thermal quantum correlations and Teleportation in a Graphene Sheet
本文研究含无序电子的二维蜂窝晶格石墨烯片，利用纠缠、测量诱导非定域性和不确定性诱导非定域性分析热量子关联及隐形传态，揭示能带参数与散射强度的相反作用。
Digital quantum lattice Boltzmann evolution by reversible compute and open-system reset
提出一种数字量子格子玻尔兹曼算法，通过可逆计算与开放系统重置实现非线性耗散流体模拟，在D3Q19湍流测试中与经典模拟统计一致。
Quantum networks offer a unifying set of opportunities and challenges across exciting intellectual and technical frontiers, including for quantum computation, communication, and metrology. The realization of quantum networks composed of many nodes and channels requires new scientific capabilities for the generation and characterization of quantum coherence and entanglement. Fundamental to this endeavor are quantum interconnects that convert quantum states from one physical system to those of another in a reversible fashion. Such quantum connectivity for networks can be achieved by optical inte…
Future quantum computers will require quantum error correction for faithful operation. The correction capabilities come with an overhead for performing fault-tolerant logical operations on the encoded qubits. One of the most resource efficient ways to implement logical operations is lattice surgery, where groups of physical qubits, arranged on lattices, can be merged and split to realize entangling gates and teleport logical information. Here, we report on the experimental realization of lattice surgery between two topologically encoded qubits in a 10-qubit ion trap quantum information process…
We propose an experimental design for universal continuous-variable quantum computation that incorporates recent innovations in linear-optics-based continuous-variable cluster state generation and cubic-phase gate teleportation. The first ingredient is a protocol for generating the bilayer-square-lattice cluster state (a universal resource state) with temporal modes of light. With this state, measurement-based implementation of Gaussian unitary gates requires only homodyne detection. Second, we describe a measurement device that implements an adaptive cubic-phase gate, up to a random phase-spa…
Nontrivial bounds on extractable energy in quantum energy teleportation for gapped manybody systems with a unique ground state
研究通过建立指数衰减的上界，探讨了在有限范围间隙晶格系统中量子能量传送协议中可提取的平均能量，利用谱间隙和局部测量算符的均匀算符范数假设，得出分离距离与能量差的关系。
Ancilla wavefunctions of Mott insulator and pseudogap metal through quantum teleportation
提出一种基于量子隐形传态和辅助比特的莫特绝缘体新波函数，通过单一参数连续调节电荷能隙，并数值证实其有效性，为理解金属-绝缘体相变提供了包含分数费米液体相的新概念框架。
We develop a tensor network technique that can solve universal reversible classical computational problems, formulated as vertex models on a square lattice [Nat. Commun. 8, 15303 (2017)]. By encoding the truth table of each vertex constraint in a tensor, the total number of solutions compatible with partial inputs/outputs at the boundary can be represented as the full contraction of a tensor network. We introduce an iterative compression-decimation (ICD) scheme that performs this contraction efficiently. The ICD algorithm first propagates local constraints to longer ranges via repeated contrac…
Reversible lattice dynamics embody basic features of physics that govern the time evolution of classical information. They have finite resolution in space and time, don't allow information to be erased, and easily accommodate other structural properties of microscopic physics, such as finite distinct state and locality of interaction. In an ideal quantum realization of a reversible lattice dynamics, finite classical rates of state-change at lattice sites determine average energies and momenta. This is very different than traditional continuous models of classical dynamics, where the number of …
On two non-ergodic reversible cellular automata, one classical, the other quantum
本文提出两种1+1维非遍历可逆元胞自动机：经典模型通过额外守恒荷暗示可积性，量子模型虽不满足完整Yang-Baxter方程，但满足相关恒等式并产生无限个局部守恒算子。
In recent work [quant-ph/0405174] by Schumacher and Werner was discussed an abstract algebraic approach to a model of reversible quantum cellular automata (CA) on a lattice. It was used special model of CA based on partitioning scheme and so there is a question about quantum CA derived from more general, standard model of classical CA. In present work is considered an approach to definition of a scheme with "history", valid for quantization both irreversible and reversible classical CA directly using local transition rules. It is used language of vectors in Hilbert spaces instead of C*-algebra…
Exploiting Movable Logical Qubits for Lattice Surgery Compilation
本研究提出利用可移动逻辑量子比特进行晶格手术编译，通过量子态传输减少路由深度，适用于超导量子硬件。
Efficient Quantum-Safe Homomorphic Encryption for Quantum Computer Programs
提出基于MLWE格和BNSFs的抗量子同态加密方案，实现量子程序安全求值与知识库感知推理，兼容近期量子云硬件与后量子安全标准。
We consider a lattice of weakly interacting quantum Markov processes. Without interaction, the dynamics at each site is relaxing exponentially to a unique stationary state. With interaction, we show that there remains a unique stationary state in the thermodynamic limit, i.e. absence of phase coexistence, and the relaxation towards it is exponentially fast for local observables. We do not assume that the quantum Markov process is reversible (detailed balance) w.r.t. a local Hamiltonian.
On the integrability structure of the deformed rule-54 reversible cellular automaton
研究规则54可逆细胞自动机在1+1维时空晶格上的量子和随机变形，分析其在两种不同设定下的可积结构，包括量子变形中的保守量和随机变形中的非平衡稳态。
We establish that, in an appropriate limit, qubits of communication should be regarded as composite resources, decomposing cleanly into independent correlation and transmission components. Because qubits of communication can establish ebits of entanglement, qubits are more powerful resources than ebits. We identify a new communications resource, the zero-bit, which is precisely half the gap between them, replacing classical bits by zero-bits makes teleportation asymptotically reversible. The decomposition of a qubit into an ebit and two zero-bits has wide-ranging consequences including applica…
Dissipation can serve as a powerful resource for controlling the behavior of open quantum systems.Recently there has been a surge of interest in the influence of dissipative coupling on large quantum systems and, more specifically, how these processes can influence band topology and phenomena like many-body localization. Here, we explore the engineering of local, tunable dissipation in so-called synthetic lattices, arrays of quantum states that are parametrically coupled in a fashion analogous to quantum tunneling. Considering the specific case of momentum-state lattices, we investigate two di…
Architectural mechanisms of a universal fault-tolerant quantum computer
本研究通过中性原子阵列实现了通用容错量子计算架构，展示了量子纠错、逻辑纠缠与量子态传输的结合，为大规模量子计算提供了基础。
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