Anderson localisation in spin chains for perfect state transfer

Ronke, Rebecca; Estarellas, Marta P.; D’Amico, Irene; Spiller, Timothy P.; Miyadera, Takayuki

doi:10.1140/epjd/e2016-60665-0

Cited by 14 publications

(8 citation statements)

References 32 publications

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“…For a comprehensive analysis of the influence of noise and disorder in the functioning of the standard model we recommend Refs. [6,34,35,36,37,38,39,40,41,42,43,44,45,46,47]. In Sec.…”

Section: Introductionmentioning

confidence: 99%

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

Vieira

Rigolin

2018

Physics Letters A

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We show that using a slightly modified XX model for a spin-1/2 chain, one can transmit almost perfectly a maximally entangled two-qubit state from one end of the chain to the other one. This is accomplished without external fields or modulation of the coupling constants among the qubits. We also show that this strategy works for any size of the chain and is relatively robust to imperfections in the coupling constants among the qubits belonging to the chain. Actually, under certain scenarios of small disorder, we obtain better results than those predicted by the optimal ordered and noiseless case.

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“…For a comprehensive analysis of the influence of noise and disorder in the functioning of the standard model we recommend Refs. [6,34,35,36,37,38,39,40,41,42,43,44,45,46,47]. In Sec.…”

Section: Introductionmentioning

confidence: 99%

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

Vieira

Rigolin

2018

Physics Letters A

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“…See also Refs. [51,52,53,54,55,56,57,58,59,60,61,62,63,64,65] for more studies involving disorder and noise.…”

Section: Introductionmentioning

confidence: 99%

Almost perfect transmission of multipartite entanglement through disordered and noisy spin chains

Vieira,

Rigolin

2020

Preprint

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We show how to efficiently send an M-partite entangled state along a spin chain of arbitrary size. Specifically, we show how an entangled M-partite W sate can be almost flawlessly transmitted from one end (Alice) to the other end (Bob) of a spin-1/2 chain described by a slightly modified XX model. We achieve an almost perfect transmission without employing external magnetic fields or modulating the coupling constants among the spins of the chain, the two standard approaches used to achieve a good transmission efficiency. Moreover, the protocol here proposed can be used to transform an M-partite W state with Alice into an M-partite one with Bob (M M). We also investigate the proposed protocol's response to several types of disorder and noise and show that it is quite robust to small deviations about the coupling constants of the optimal ordered and noiseless case.

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“…We should also mention important contributions on the usefulness of chains of continuous variable systems in transmitting quantum states [8,9,10,17,33]. Most of the aforementioned works studied strictly one dimensional chains with open or periodic boundary conditions and extensive investigations on the performance of those systems in the presence of disorder and noise can be found in [5,37,38,39,40,41,42,43,44,45,46,47,48,49,50].…”

Section: Introductionmentioning

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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Anderson localisation in spin chains for perfect state transfer

Cited by 14 publications

References 32 publications

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

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

Almost perfect transmission of multipartite entanglement through disordered and noisy spin chains

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

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