Optimal conclusive teleportation of quantum states

Roa, Luis; Delgado, A.; Fuentes-Guridi, I.

doi:10.1103/physreva.68.022310

Cited by 99 publications

(95 citation statements)

References 22 publications

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“…In fact, such process exists in specific quantum information protocols, for instance the probabilistic teleportation [15,16] which will be shown as a part of our results. And the discrimination with classical probabilities corresponds to a special case of the present work.…”

Section: Introductionmentioning

confidence: 51%

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Intrinsic coherence in assisted sub-state discrimination

Zhang

Wang

2017

EPL

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We study intrinsic coherence in the tripartite process to unambiguously discriminate two nonorthogonal states of a qubit, entangled with another one, and assisted by an auxiliary system. The optimal success probability is found to be benefited by initial intrinsic coherence, but no extra one is required. The transformations among different contributions of intrinsic coherence are necessary in this procedure, which increase with the overlap between the states to recognize. Such state discrimination is a key step of the probabilistic teleportation protocol. Entanglement of the quantum channel decreases the coherence characterizing the reliance on an ancilla.

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Section: Introductionmentioning

confidence: 51%

“…USSD is an important step in the protocol of probabilistic teleportation [15,16]. To illustrate the scheme, we denote the Pauli operators as σ x,y,z x and the Bell states as |ψ ± xy = (|0 x |0 y ± |1 x |1 y )/ √ 2 and |φ ± xy = (|0 x |1 y ± |1 x |0 y )/ √ 2, with the subscripts indicating different qubits.…”

Section: Probabilistic Teleportationmentioning

confidence: 99%

Intrinsic coherence in assisted sub-state discrimination

Zhang

Wang

2017

EPL

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“…The detector array, however, will be required to have singlephoton counting capability. Some candidates for this include charged-coupled device cameras (CCDs), either an intensified CCD [55] or an electron multiplying CCD [56], and also single-photon avalanche diode arrays based on CMOS technology [57,58].The ME measurement is central not only to many applications in quantum information, but also to put forward the implementation of "complete" probabilistic discrimination protocols in high dimensions: by iterating the discrimination process in case of failed attempts [26], one can significantly increase the information gain about the input states. Our demonstration constitutes a building block for future realizations of these protocols and, accordingly, will benefit a variety of tasks in high-dimensional quantum information processing [25][26][27][28].…”

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confidence: 99%

“…One of these is the set of symmetric pure states (defined below) prepared with equal * msolisp@udec.cl † lneves@fisica.ufmg.br prior probabilities [24]. Discriminating among them with minimum error sets the bounds on the eavesdropping in some quantum cryptographic schemes [25] and is crucial for optimal deterministic and probabilistic realizations of protocols like quantum teleportation [26], entanglement swapping [27], and dense coding [28], when the quantum channels are nonmaximally entangled. Experimental demonstrations of ME discrimination have been provided in continuous variables for two coherent states [29], and in two-dimensional Hilbert spaces for sets of two [30], three, and four states [31] encoded in the light polarization, and two states encoded in the 14 N nuclear spin [32].…”

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confidence: 99%

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Experimental Minimum-Error Quantum-State Discrimination in High Dimensions

et al. 2017

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Quantum mechanics forbids perfect discrimination among nonorthogonal states through a single shot measurement. To optimize this task, many strategies were devised that later became fundamental tools for quantum information processing. Here, we address the pioneering minimum-error (ME) measurement and give the first experimental demonstration of its application for discriminating nonorthogonal states in high dimensions. Our scheme is designed to distinguish symmetric pure states encoded in the transverse spatial modes of an optical field; the optimal measurement is performed by a projection onto the Fourier transform basis of these modes. For dimensions ranging from D = 2 to D = 21 and nearly 14000 states tested, the deviations of the experimental results from the theoretical values range from 0.3% to 3.6% (getting below 2% for the vast majority), thus showing the excellent performance of our scheme. This ME measurement is a building block for high-dimensional implementations of many quantum communication protocols, including probabilistic state discrimination, dense coding with nonmaximal entanglement, and cryptographic schemes.Quantum mechanics establishes fundamental bounds to our capability of distinguishing among states with nonvanishing overlap: if one is given at random one of two or more nonorthogonal states and asked to identify it from a single shot measurement, it will be impossible to accomplish the task deterministically and with full confidence. This constraint has deep implications both foundational, underlying the debate about the epistemic and ontic nature of quantum states [1][2][3][4], and practical, warranting secrecy in quantum key distribution [5,6]. Beyond that, the problem of discriminating nonorthogonal quantum states plays an important role in quantum information and quantum communications [7].A wide variety of measurement strategies have been devised in order to optimize the state discrimination process according to a predefined figure of merit [7]. The pioneering one was the minimum-error (ME) measurement [8][9][10] where each outcome identifies one of the possible states and the overall error probability is minimized. Other fundamental strategies conceived later [11][12][13][14][15][16][17] employ the ME discrimination in the step next to a transformation taking the input states to more distinguishable ones [18], which enables us to identify them with any desired confidence level (within the allowed bounds) and a maximum success probability. Nowadays, the ME measurement is central to a range of applications, including quantum imaging [19], quantum reading [20], image discrimination [21], error correcting codes [22], and quantum repeaters [23], thus stressing its importance.Closed-form solutions for ME measurements are known only for a few sets of states. One of these is the set of symmetric pure states (defined below) prepared with equal * msolisp@udec.cl † lneves@fisica.ufmg.br prior probabilities [24]. Discriminating among them with minimum error sets the bounds on the eavesdropping...

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Optimal Discrimination of Two Nonorthogonal States by Continuous Probing and Feedback Operation

Zhao

2022

Annalen der Physik

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For a quantum system prepared probabilistically on two or more non‐orthogonal states, the observer cannot discriminate the initial preparation perfectly. Kurt Jacobs [Quantum Inf. Comput. 2007, 7, 127] introduced a measurement operator that could increase the rate of information obtained using a continuous measurement scheme. However, the better effect happens at the expense of reducing the total information from the quantum system. To address this problem, an optimal operator that could yield the maximal value of mutual information for a long‐time measurement is found. Particularly, it turns out that the error probability is minimized for any measurement moment by measuring the optimal operator. Furthermore, for a given finite measurement time, a measurement scheme to maximize the obtained mutual information is presented. It is shown that while the Jacobs' operator should be used for a short‐time case, for a long‐time limit, the proposed optimal operator should be employed. For a given finite duration, the proposal could determine the optimal measurement operator that maximizes the final value of mutual information.

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Optimal conclusive teleportation of quantum states

Cited by 99 publications

References 22 publications

Intrinsic coherence in assisted sub-state discrimination

Intrinsic coherence in assisted sub-state discrimination

Experimental Minimum-Error Quantum-State Discrimination in High Dimensions

Optimal Discrimination of Two Nonorthogonal States by Continuous Probing and Feedback Operation

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