Efficient Multi Port-Based Teleportation Schemes

Studziński, Michał; Mozrzymas, Marek; Kopszak, Piotr; Horodecki, Michał

doi:10.1109/tit.2022.3187852

Cited by 15 publications

(6 citation statements)

References 42 publications

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“…The above decomposition allows for easy calculation of the inversion ρ −1 necessary for having explicit form of the measurements from (5). We also introduce notation γ µ * (α), meaning that for a given diagram α ⊢ (n − 2) we choose such µ ∈ α for which γ µ (α) from ( 16) is maximal, i.e.…”

Section: Mathematical Preliminaries Of Pbtmentioning

confidence: 99%

“…These protocols go under a name of port-based teleportation (PBT) [3] and they possess a counter-intuitive property that appears to be at odds with non-signalling principle of quantum mechanics, namely, that the teleported state requires no correction and is readily available for use after the sender performs a measurement and sends classical communication. This sparked a series of studies that investigate fundamental capabilities of different PBT protocols and their corresponding resource requirements such as the type of measurements and the amount of entanglement needed for the protocol to function [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

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Minimal port-based teleportation

Strelchuk

Studziński

2023

New J. Phys.

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There are two types of port-based teleportation (PBT) protocols: deterministic -- when the state always arrives to the receiver but is imperfectly transmitted and probabilistic -- when the state reaches the receiver intact with high probability. We introduce the minimal set of requirements that define a feasible PBT protocol and construct a simple PBT protocol that satisfies these requirements: it teleports an unknown state of a qubit with success probability $p_{succ}=1-\frac{N+2}{2^{N+1}}$ and fidelity $1-O(\frac{1}{N})$ with the resource state consisting of $N$ maximally entangled states. This protocol is not reducible from either the deterministic or probabilistic PBT protocol. We define the corresponding efficient superdense coding protocols which transmit more classical bits with fewer maximally entangled states. Furthermore, we introduce rigorous methods for comparing and converting between different PBT protocols.

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Section: Mathematical Preliminaries Of Pbtmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Minimal port-based teleportation

Strelchuk

Studziński

2023

New J. Phys.

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“…From this starting point the existence of the exact sequence (5.1) of R(8|8) modules terminating in V BPS phys is the origin of the emergence of psu(2, 2|4) symmetry. Algebraic mechanisms for the emergence of symmetries, notably Schur-Weyl duality and the doublecommutant theorem, continue to play a significant role in holography, many-body quantum physics and quantum information [66][67][68][69][70][71]. It would be fascinating to uncover the wider applicability, in holography and many-body quantum physics, of the mechanism of emergence based on oscillator systems and associated resolutions of ring modules described in section 5.…”

Section: Jhep02(2023)176mentioning

confidence: 99%

$$ \mathcal{N} $$ = 4 SYM, (super)-polynomial rings and emergent quantum mechanical symmetries

Koch

Ramgoolam

2023

J. High Energ. Phys.

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The structure of half-BPS representations of psu(2, 2|4) leads to the definition of a super-polynomial ring $$ \mathcal{R} $$ R (8|8) which admits a realisation of psu(2, 2|4) in terms of differential operators on the super-ring. The character of the half-BPS fundamental field representation encodes the resolution of the representation in terms of an exact sequence of modules of $$ \mathcal{R} $$ R (8|8). The half-BPS representation is realized by quotienting the super-ring by a quadratic ideal, equivalently by setting to zero certain quadratic polynomials in the generators of the super-ring. This description of the half-BPS fundamental field irreducible representation of psu(2, 2|4) in terms of a super-polynomial ring is an example of a more general construction of lowest-weight representations of Lie (super-) algebras using polynomial rings generated by a commuting subspace of the standard raising operators, corresponding to positive roots of the Lie (super-) algebra. We illustrate the construction using simple examples of representations of su(3) and su(4). These results lead to the definition of a notion of quantum mechanical emergence for oscillator realisations of symmetries, which is based on ideals in the ring of polynomials in the creation operators.

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“…One such variant, port-based teleportation (PBT) [21][22][23][24][25][26][27][28][29] has been introduced. While the standard teleportation protocol requires recovering operation by the receiver at the end, PBT does not require this quantum process.…”

Section: Introductionmentioning

confidence: 99%

Port-based entanglement teleportation via noisy resource states

Kim,

Jeong

2024

Phys. Scr.

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Port-based teleportation (PBT) represents a variation of the standard quantum teleportation and is currently being employed and explored within the field of quantum information processing owing to its various applications. In this study, we focus on PBT protocol when the resource state is disrupted by local Pauli noises. Here, we fully characterise the channel of the noisy PBT protocol using Krauss representation. Especially, by exploiting the application of PBT for entanglement distribution necessary in realizing quantum networks, we investigate entanglement transmission through this protocol for each qubit considering noisy resource states, denoted as port-based entanglement teleportation (PBET). Finally, we derive upper and lower bounds for the teleported entanglement as a function of the initial entanglement and the noises. Our study demonstrates that quantum entanglement can be efficiently distributed by protocols utilizing large-sized resource states in the presence of noise and is expected to serve as a reliable guide for developing optimized PBET protocols.To obtain these results, we address that the order of entanglement of two qubit states is preserved through the local Pauli channel, and identify the boundaries of entanglement loss through this teleportation channel.

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Efficient Multi Port-Based Teleportation Schemes

Cited by 15 publications

References 42 publications

Minimal port-based teleportation

Minimal port-based teleportation

$$ \mathcal{N} $$ = 4 SYM, (super)-polynomial rings and emergent quantum mechanical symmetries

Port-based entanglement teleportation via noisy resource states

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