Fast entanglement detection for unknown states of two spatial qutrits

Lima, G.; Gómez, Esteban S.; Vargas, Asticio; Vianna, Reinaldo O.; Saavedra, C.

doi:10.1103/physreva.82.012302

Cited by 26 publications

(30 citation statements)

References 58 publications

(108 reference statements)

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“…Using Eqs. (14), (17), (27), and (35) one can show that sin 2 (2 ) rr (x jH , x,f ) sin(2 ) cos(2 ) rl (x jH , x,f ) sin(2 ) cos(2 ) lr (x jH , x,f ) …”

Section: Measurement At the Focal Plane By Two-pixel Detectors Witmentioning

confidence: 96%

“…The parameters used in our simulations are shown in Table I and their values are typically employed in experiments. In particular, the value we have chosen for the detector width, together with the other parameters, allows for a very good spatial filtering without compromising too much the detection rate [27,28]. Our simulations were performed in the following steps.…”

Section: Numerical Analysismentioning

confidence: 99%

“…The vectors |θ n (for n = r,l) are given by Eq. (27). Taking into account the probability for the outcome p [Eq.…”

Section: The Two-pixel Detectormentioning

confidence: 99%

“…(27) and (33), the photon B will be prepared in the state |ψ jH B = sin(2 )|l + e ikdx jH /f cos(2 )|r ,…”

Section: Conditions For Remotely Preparing the Target Statementioning

confidence: 99%

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Remote state preparation of spatial qubits

Solís-Prosser

Neves

2011

Phys. Rev. A

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We study the quantum communication protocol of remote state preparation (RSP) for pure states of qubits encoded in single photons transmitted through a double slit, the so-called spatial qubits. Two measurement strategies that one can adopt to remotely prepare the states are discussed. The first strategy is the well-known spatial postselection, where a single-pixel detector measures the transverse position of the photon between the focal and the image plane of a lens. The second strategy, proposed by ourselves, is a generalized measurement divided into two steps: the implementation of a two-outcome positive operator-valued measurement (POVM) followed by the spatial postselection at the focal plane of the lens by a two-pixel detector in each output of the POVM. In both cases we analyze the effects of the finite spatial resolution of the detectors over three figures of merit of the protocol, namely, the probability of preparation, the fidelity and purity of the remotely prepared states. It is shown that our strategy improves these figures compared with spatial postselection, at the expense of increasing the classical communication cost as well as the required experimental resources. In addition, we present a modified version of our strategy for RSP of spatial qudits which is able to prepare arbitrary pure states, unlike spatial postselection alone. We expect that our study may also be extended for RSP of the angular spectrum of a single-photon field as an alternative for quantum teleportation which requires very inefficient nonlinear interactions.Comment: 17 pages, 8 figures. Published versio

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“…Using Eqs. (14), (17), (27), and (35) one can show that sin 2 (2 ) rr (x jH , x,f ) sin(2 ) cos(2 ) rl (x jH , x,f ) sin(2 ) cos(2 ) lr (x jH , x,f ) …”

Section: Measurement At the Focal Plane By Two-pixel Detectors Witmentioning

confidence: 96%

Section: Numerical Analysismentioning

confidence: 99%

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Remote state preparation of spatial qubits

Solís-Prosser

Neves

2011

Phys. Rev. A

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“…The point-like detector is constructed using a pinhole in front of a conventional bulk APD, which is then positioned at the center of the interference pattern. In this configuration, the probability of single-photon detection at the APD is proportional to [20][21][22][23]. During the implementation of the KS tests, the modulations performed by SLM1 and SLM2 remain fixed producing the quantum state to be used in the test.…”

Section: Methodsmentioning

confidence: 99%

Experimental implementation of an eight-dimensional Kochen-Specker set and observation of its connection with the Greenberger-Horne-Zeilinger theorem

et al. 2014

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For eight-dimensional quantum systems there is a Kochen-Specker (KS) set of 40 quantum yes-no tests that is related to the Greenberger-Horne-Zeilinger (GHZ) proof of Bell's theorem. Here we experimentally implement this KS set using an eight-dimensional Hilbert space spanned by the transverse momentum of single photons. We show that the experimental results of these tests violate a state-independent noncontextuality inequality. In addition, we show that, if the system is prepared in states that are formally equivalent to a three-qubit GHZ and W states, then the results of a subset of 16 tests violate a noncontextuality inequality that is formally equivalent to the three-party Mermin's Bell inequality, but for single eight-dimensional quantum systems. These experimental results highlight the connection between quantum contextuality and nonlocality for eight-dimensional quantum systems.

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Process Characterization

Sansoni¹

2014

Springer Theses

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Fast entanglement detection for unknown states of two spatial qutrits

Cited by 26 publications

References 58 publications

Remote state preparation of spatial qubits

Remote state preparation of spatial qubits

Experimental implementation of an eight-dimensional Kochen-Specker set and observation of its connection with the Greenberger-Horne-Zeilinger theorem

Process Characterization

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