Quantum phase estimation using a multi-headed cat state

Lee, Suyong; Lee, Chang-Woo; Nha, Hyunchul; Kaszlikowski, Dagomir

doi:10.1364/josab.32.001186

Cited by 34 publications

(30 citation statements)

References 47 publications

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“…We note that for c 1  the optimal value F sG displays the same behavior as the optimal Gaussian in equation (20). However, for c ?…”

Section: Near-optimal Non-gaussian States: Superposition Of Two Squeementioning

confidence: 65%

“…However, for c ? 1 it decays as 1/c which is slower than the decay 1/2c 2 given by equation (20) corresponding to the single Gaussian.…”

Section: Near-optimal Non-gaussian States: Superposition Of Two Squeementioning

confidence: 79%

“…Furthermore, such a cat-state mixed with a vacuum using a beam splitter produces a two-mode state that yields a useful resource for quantum metrology, e.g. enhanced sensitivity in phase estimation [20].…”

Section: Introductionmentioning

confidence: 99%

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Sufficient condition for a quantum state to be genuinely quantum non-Gaussian

et al. 2018

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The following errors was introduced during the production process. In section 1.3. Outline the final two sentences should be interchanged and read 'In appendix C we derive the asymptotic behavior of the maximum mean value F sG =F sG (c) for the coherent superposition of two squeezed Gaussian states. We conclude in appendix D by describing the model of the dissipation of a quantum state via interaction with a reservoir at zero temperature.' instead of 'We conclude in appendix D by describing the model of the dissipation of a quantum state via interaction with a reservoir at zero temperature. In appendix C we derive the asymptotic behavior of the maximum mean value F sG =F sG (c) for the coherent superposition of two squeezed Gaussian states.' Also, reference [14] has an error in the year of publication. It should read 'Straka I, Lachman L, Hloušek J, Miková M, Mičuda M, Ježek M and Filip R 2018 npj Quantum Inf. 4 4' not 'Straka I, Lachman L, Hloušek J, Miková M, Mičuda M, Ježek M and Filip R 2016 npj Quantum Inf. 4 4'.

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“…We note that for c 1  the optimal value F sG displays the same behavior as the optimal Gaussian in equation (20). However, for c ?…”

Section: Near-optimal Non-gaussian States: Superposition Of Two Squeementioning

confidence: 65%

“…However, for c ? 1 it decays as 1/c which is slower than the decay 1/2c 2 given by equation (20) corresponding to the single Gaussian.…”

Section: Near-optimal Non-gaussian States: Superposition Of Two Squeementioning

confidence: 79%

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Sufficient condition for a quantum state to be genuinely quantum non-Gaussian

et al. 2018

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“…Full indistinguishability is confirmed by full interchangeability of degrees of freedom, which is achieved when the number of degrees of freedom is equal to the number of the parties. A candidate is time-frequency modes in optical frequency combs [19] and multi-headed coherent states [20][21][22][23]. From the squeezed vacuum state case, we expect to find a way of discriminating even and odd numbers without destroying states.…”

Section: Summary and Discussionmentioning

confidence: 99%

Duality in entanglement of macroscopic states of light

Lee

Kurzyński

et al. 2016

Phys. Rev. A

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We investigate duality in entanglement of a bipartite multi-photon system generated from a coherent state of light. The system can exhibit polarization entanglement if the two parts are distinguished by their parity, or parity entanglement if the parts are distinguished by polarization. It was shown in [PRL 110, 140404 (2013)] that this phenomenon can be exploited as a method to test indistinguishability of two particles and it was conjectured that one can also test indistinguishability of macroscopic systems. We propose a setup to test this conjecture. Contrary to the previous studies using two-particle interference effect as in Hong-Ou-Mandel setup, our setup neither assumes that the tested state is composed of single particles nor requires that the total number of particles be fixed. Consequently the notion of entanglement duality is shown to be compatible with a broader class of physical systems. Moreover, by observing duality in entanglement in the above system one can confirm that macroscopic systems exhibit quantum behaviour. As a practical side, entanglement duality is a useful concept that enables adaptive conversion of entanglement of one degree of freedom (DOF) to that of another DOF according to varying quantum protocols.

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“…One of the well-known representations for the SCS is the superposition of two coherent states with opposite phases [2,3] and the research on this nonclassical state has great potential not only for understanding fundamental quantum physics but also for openning up new avenues for quantum technologies (e.g., continuous-variable quantum computing [4][5][6], quantum metrology [7][8][9], and quantum communications [10]). Quantum optics has provided an excellent platform for generating both trapped and traveling SCSs.…”

Section: Introductionmentioning

confidence: 99%

Implementation of Traveling Odd Schrödinger Cat States in Circuit-QED

2016

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Abstract:We propose a realistic scheme of generating a traveling odd Schrödinger cat state and a generalized entangled coherent state in circuit quantum electrodynamics (circuit-QED). A squeezed vacuum state is used as the initial resource of nonclassical states, which can be created through a Josephson traveling-wave parametric amplifier, and travels through a transmission line. Because a single-photon subtraction from the squeezed vacuum gives an odd Schrödinger cat state with very high fidelity, we consider a specific circuit-QED setup consisting of the Josephson amplifier creating the traveling resource in a line, a beam-splitter coupling two transmission lines, and a single photon detector located at the end of the other line. When a single microwave photon is detected by measuring the excited state of a superconducting qubit in the detector, a heralded cat state is generated with high fidelity in the opposite line. For example, we show that the high fidelity of the outcome with the ideal cat state can be achieved with appropriate squeezing parameters theoretically. As its extended setup, we suggest that generalized entangled coherent states can be also built probabilistically and that they are useful for microwave quantum information processing for error-correctable qudits in circuit-QED.

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Quantum phase estimation using a multi-headed cat state

Cited by 34 publications

References 47 publications

Sufficient condition for a quantum state to be genuinely quantum non-Gaussian

Sufficient condition for a quantum state to be genuinely quantum non-Gaussian

Duality in entanglement of macroscopic states of light

Implementation of Traveling Odd Schrödinger Cat States in Circuit-QED

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