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

Vieira, Rafael; Rigolin, Gustavo

doi:10.1016/j.physleta.2020.126536

Cited by 14 publications

(12 citation statements)

References 52 publications

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“…In this notation, the Hadamard coin is such that q = 1/2 and θ = φ = 0 while for the σ x coin we have q = θ = φ = 0. We introduce disorder in a given coin by the following prescription [11,12,[25][26][27],…”

Section: Disordermentioning

confidence: 99%

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Quantum Corralling

Vieira,

Rigolin,

Amorim

2021

Preprint

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We propose a robust and efficient way to store and transport quantum information via onedimensional discrete time quantum walks. We show how to attain an effective dispersionless wave packet evolution using only two types of local unitary operators (quantum coins or gates), properly engineered to act at predetermined times and at specific lattice sites during the system's time evolution. In particular, we show that a qubit initially localized about a Gaussian distribution can be almost perfectly confined during arbitrary long times or sent and latter recovered at arbitrary distances using only Hadamard and σx gates.

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Section: Disordermentioning

confidence: 99%

“…Also, depending on the type of disorder, δq(j, t n ), δθ(j, t n ), and δφ(j, t n ) are functions only of position, only of time, or of both position and time. In other words, we have, respectively, static, dynamic, or fluctuating disorder [11,12,[25][26][27].…”

Section: Disordermentioning

confidence: 99%

Quantum Corralling

Vieira,

Rigolin,

Amorim

2021

Preprint

Self Cite

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show abstract

“…While a great amount of work has been devoted to the routing of the quantum state of a single qubit [ 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 ], where the fidelity of the transfer protocol can be expressed in terms of the transition amplitude of a single excitation between a sender and a receiver location [ 12 ], the routing of a multiple qubit state is a far less investigated scenario. Although several protocols have been proposed both for two-qubit and multi-partite entangled quantum state transfer [ 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 ], their extension to a routing configuration on an arbitrary network is not straightforward. One reason being that almost all the proposed protocols rely on the quantum channel possessing mirror-symmetry, which, allowing for multiple receivers at arbitrary positions, is difficult to attain: in Ref.…”

Section: Introductionmentioning

confidence: 99%

Two-Excitation Routing via Linear Quantum Channels

Apollaro

Chetcuti

2020

Entropy

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Routing quantum information among different nodes in a network is a fundamental prerequisite for a quantum internet. While single-qubit routing has been largely addressed, many-qubit routing protocols have not been intensively investigated so far. Building on a recently proposed many-excitation transfer protocol, we apply the perturbative transfer scheme to a two-excitation routing protocol on a network where multiple two-receivers block are coupled to a linear chain. We address both the case of switchable and permanent couplings between the receivers and the chain. We find that the protocol allows for efficient two-excitation routing on a fermionic network, although for a spin-12 network only a limited region of the network is suitable for high-quality routing.

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“…While a great amount of work has been devoted to the routing of the quantum state of a single qubit [4][5][6][7][8][9][10][11][12], where the fidelity of the transfer protocol can be expressed in terms of the transition amplitude of a single excitation between a sender and a receiver location [13], the routing of a multiple qubit state is a far less investigated scenario. Although several protocols have been proposed both for two-qubit and multi-partite entangled quantum state transfer [14][15][16][17][18][19][20][21][22][23], their extension to a routing configuration on an arbitrary network is not straightforward. One reason being that almost all the proposed protocols rely on the quantum channel possessing mirror-symmetry, which, allowing for multiple receivers at arbitrary positions, is difficult to attain: in Ref.…”

Section: Introductionmentioning

confidence: 99%

Two-Excitation Routing via Linear Quantum Channels

Apollaro¹,

Chetcuti²

2020

Preprint

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Routing quantum information among different nodes in a network is a fundamental prerequisite for a quantum internet. While single-qubit routing has been largely addressed, many-qubit routing protocols have not been intensively investigated so far. Building on the many-excitation transfer protocol in Ref. , we apply the perturbative transfer scheme to a two-excitation routing protocol on a network where multiple two-receivers block are coupled to a linear chain. We address both the case of switchable and permanent couplings between the receivers and the chain. We find that the protocol allows for efficient two-excitation routing on a fermionic network, although for a spin-12 network only a limited region of the network is suitable for high-quality routing.

show abstract

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

Cited by 14 publications

References 52 publications

Quantum Corralling

Quantum Corralling

Two-Excitation Routing via Linear Quantum Channels

Two-Excitation Routing via Linear Quantum Channels

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