Deterministic conversion of a four-photon GHZ state to a W state via homodyne measurement

Cui, Wen‐Xue; Hu, Shi; Wang, Hong-Fu; Zhu, Ai‐Dong; Zhang, Shou

doi:10.1364/oe.24.015319

Cited by 31 publications

(11 citation statements)

References 44 publications

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“…, which represent two different types of entanglement that cannot be transformed into each other through local operations and classical communications (LOCC). Interestingly experimental W-to-GHZ state conversion were recently demonstrated [82,83].…”

Section: Quantum Cryptography Based On No-cloningmentioning

confidence: 99%

Quantum information

Horodecki

2021

Preprint

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Section: Quantum Cryptography Based On No-cloningmentioning

confidence: 99%

Quantum information

Horodecki

2021

Preprint

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“…The pioneering attempt of carrying out the W -to-GHZ state conversion pertained to a photonic system and its character was probabilistic [35]. Following this initial in-vestigation, another work with photons was reported [36], as well as a study devoted to a spin system [37]. In the realm of neutral-atom systems, irreversible conversions of a W state into a GHZ state were first proposed [38,39], followed by two proposals for the deterministic conversion between the two states in a laser-controlled system of three equidistant gr-type Rydberg-atom qubits [29,32].…”

Section: Introductionmentioning

confidence: 99%

Quantum-brachistochrone approach to the conversion from $W$ to Greenberger-Horne-Zeilinger states for Rydberg-atom qubits

Nauth,

Stojanovic

2022

Preprint

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Using the quantum-brachistochrone formalism, we address the problem of finding the fastest possible (time-optimal) deterministic conversion between W and Greenberger-Horne-Zeilinger (GHZ) states in a system of three identical and equidistant neutral atoms that are acted upon by four external laser pulses. Assuming that all four pulses are close to being resonant with the same internal (atomic) transition -the one between the atomic ground state and a high-lying Rydberg stateeach atom can be treated as an effective two-level system (gr-type qubit). Starting from an effective system Hamiltonian in the Rydberg-blockade regime, which is defined on a four-state manifold, we derive the quantum-brachistochrone equations pertaining to the fastest possible W -to-GHZ state conversion. By numerically solving these equations, we determine the time-dependent Rabi frequencies of external laser pulses that correspond to the time-optimal state conversion. In particular, we show that the shortest possible state-conversion time is given by TQB = 6.8 /E, where E is the total laser-pulse energy used, this last time being significantly shorter than the state-conversion times previously found using a dynamical-symmetry-based approach [TDS = (1.33 − 1.66) TQB].

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“…The earliest attempt in this direction pertained to a photonic system and was probabilistic in nature [43]. This pioneering study was followed by a further work with photons [44] and a study of analogous interconversions in a spin system [45]. Finally, irreversible conversions of a W state into a GHZ state were also proposed in the realm of atomic systems [46,47].…”

Section: Introductionmentioning

confidence: 99%

Conversion from $W$ to Greenberger-Horne-Zeilinger states in the Rydberg-blockade regime of neutral-atom systems: Dynamical-symmetry-based approach

Haase,

Alber,

Stojanovic

2020

Preprint

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We investigate the possibilities for a deterministic conversion between two important types of maximally-entangled multiqubit states -namely, W and Greenberger-Horne-Zeilinger (GHZ) states -in the Rydberg-blockade regime of a neutral-atom system where each atom is subject to four external laser pulses. Such interconversions between W states and their GHZ counterparts have quite recently been addressed using the method of shortcuts to adiabaticity, more precisely techniques based on Lewis-Riesenfeld invariants [R.-H. Zheng et al., Phys. Rev. A 101, 012345 (2020)]. Motivated in part by this recent work, we revisit the W -to-GHZ state-conversion problem using a fundamentally different approach, which is based on the dynamical symmetries of the system and a Lie-algebraic parametrization of its permissible evolutions. In contrast to the previously used invariant-based approach, which leads to a state-conversion protocol characterized by strongly timedependent Rabi frequencies of external lasers, ours can also yield one with time-independent Rabi frequencies. This feature makes our protocol more easily applicable experimentally, with the added advantage that it allows the desired state conversion to be carried out in a significantly shorter time.

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Deterministic conversion of a four-photon GHZ state to a W state via homodyne measurement

Cited by 31 publications

References 44 publications

Quantum information

Quantum information

Quantum-brachistochrone approach to the conversion from $W$ to Greenberger-Horne-Zeilinger states for Rydberg-atom qubits

Conversion from $W$ to Greenberger-Horne-Zeilinger states in the Rydberg-blockade regime of neutral-atom systems: Dynamical-symmetry-based approach

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