Almost perfect transport of an entangled two-qubit state through a spin chain

Vieira, Rafael; Rigolin, Gustavo

doi:10.1016/j.physleta.2018.07.027

Cited by 19 publications

(53 citation statements)

References 53 publications

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“…Nevertheless, a precise control over each coupling constant is experimentally demanding, especially in solid state systems. Alternative methods have been proposed where only a few couplings are required to be addressed, generally being that between the sender (receiver) site and the quantum channel [17,18,19,20,21,22]. The case of an higher number of excitations, or the transfer of an arbitrary two-qubit state, has received less attention [23,24,24,25], whereas the transfer of a state of more than two qubits has not been addressed yet in a setting where the quantum channel is made up of a chain with uniform couplings.…”

Section: Introductionmentioning

confidence: 99%

Perturbative many-body transfer

et al. 2020

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The coherent transfer of excitations between different locations of a quantum many-body system is of primary importance in many research areas, from transport properties in spintronics and atomtronics to quantum state transfer in quantum information processing. We address the transfer of n > 1 bosonic and fermionic excitations between the edges of a one-dimensional chain modeled by a quadratic hopping Hamiltonian, where the block edges, embodying the sender and the receiver sites, are weakly coupled to the quantum wire. We find that perturbatively perfect coherent transfer is attainable in the weak-coupling limit, for both bosons and fermions, only for certain modular arithmetic equivalence classes of the wire's length. Finally we apply our findings to the transport of spins and the charging of a many-body quantum battery.

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Section: Introductionmentioning

confidence: 99%

Perturbative many-body transfer

et al. 2020

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“…Specifically, we want to determine as a function of time the EoF between qubits N and B with Bob. Tracing out the other N qubits from ρ(t) = |Ψ (t) Ψ (t)|, the density matrix describing the whole system, we get [53] ρ…”

Section: Quantifying Entanglementmentioning

confidence: 99%

Robust and efficient transport of two-qubit entanglement via disordered spin chains

Vieira

Rigolin

2019

Quantum Inf Process

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We investigate how robust is the modified XX spin-1/2 chain of [R. G. Rigolin, Phys. Lett. A 382, 2586 (2018)] in transmitting entanglement when several types of disorder and noise are present. First, we consider how deviations about the optimal settings that lead to almost perfect transmission of a maximally entangled two-qubit state affect the entanglement reaching the other side of the chain. Those deviations are modeled by static, dynamic, and fluctuating disorder. We then study how spurious or undesired interactions and external magnetic fields diminish the entanglement transmitted through the chain. For chains of the order of hundreds of qubits, we show for all types of disorder and noise here studied that the system is not appreciably affected when we have weak disorder (deviations of less than 1% about the optimal settings) and that for moderate disorder it still beats the standard and ordered XX model when deployed to accomplish the same task. IntroductionAn important tool in the practical implementation of quantum computation and communication tasks is the reliable transmission of quantum states from one location to another [1]. Quantum information, or equivalently a quantum state, can be sent from one party (Alice) to another (Bob) in at least three ways, namely, via direct transmission, via the quantum teleportation protocol [2], and via spin chains [3]. This last strategy, where Alice and Bob are connected by a spin chain through which they can send quantum states to each

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“…However a straightforward extension with two non-interacting edge spins, such as proposed in Refs. [48], each weakly coupled to the edge spins of the quantum channel, does not yield a tensor product of Bell states. Indeed, starting from, e.g., |1 A 1 1 A 2 , because of permutation symmetry of the edge spins, the amplitudes of the states…”

Section: Perturbative Analysismentioning

confidence: 99%

Spin chains for two-qubit teleportation

et al. 2019

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Generating high-quality multi-particle entanglement between communicating parties is the primary resource in quantum teleportation protocols. To this aim, we show that the natural dynamics of a single spin chain is able to sustain the generation of two pairs of Bell states -possibly shared between a sender and a distant receiver-which can in turn enable two-qubit teleportation. In particular, we address a spin-1 2 chain with XX interactions, connecting two pairs of spins located at its boundaries, playing the roles of sender and receiver. In the regime where both end pairs are weakly coupled to the spin chain, it is possible to generate at predefinite times a state that has vanishing infidelity with the product state of two Bell pairs, thereby providing nearly unit fidelity of teleportation. We also derive an effective Hamiltonian via a second-order perturbation approach that faithfully reproduces the dynamics of the full system. arXiv:1812.11609v1 [quant-ph] 30 Dec 2018 J J J J J J g g

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Almost perfect transport of an entangled two-qubit state through a spin chain

Cited by 19 publications

References 53 publications

Perturbative many-body transfer

Perturbative many-body transfer

Robust and efficient transport of two-qubit entanglement via disordered spin chains

Spin chains for two-qubit teleportation

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