Local<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:mrow></mml:math>Symmetry Violates the No-Signaling Principle

Lee, Yi-Chan; Hsieh, Min-Hsiu; Flammia, Steven T.; Lee, Ray-Kuang

doi:10.1103/physrevlett.112.130404

Cited by 165 publications

(193 citation statements)

References 38 publications

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“…because the observers live in the conventional quantum world [15,29,30]. The quantum average of an observable A can then be calculated as…”

Section: Fig 1: (Color Online)mentioning

confidence: 99%

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Increase of entanglement by localPT-symmetric operations

Chen

2014

Phys. Rev. A

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Entanglement plays a central role in the field of quantum information science. It is well known that the degree of entanglement cannot be increased under local operations. Here, we show that the concurrence of a bipartite entangled state can be increased under the local PT -symmetric operation. This violates the property of entanglement monotonicity. We also use the Bell-CHSH and steering inequalities to explore this phenomenon.

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“…because the observers live in the conventional quantum world [15,29,30]. The quantum average of an observable A can then be calculated as…”

Section: Fig 1: (Color Online)mentioning

confidence: 99%

“…For example, Bender et al [14] found that the evolution time between two quantum states under the PT -symmetry operation can be arbitrary small. Lee et al [15] found that the nosignalling principle can be violated when applying the local PT -symmetric operation on one of the entangled particles.…”

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confidence: 99%

Increase of entanglement by localPT-symmetric operations

Chen

2014

Phys. Rev. A

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“…Although the concept of PTsymmetric quantum mechanics, as a fundamental theory, is still under a heated debate [27], it has been explored in optics and electronics by means of interleaving balanced gain-and-loss regions. Several interesting physical features have been explored, such as power oscillations [28], unidirectional invisibility [29][30][31][32], the reconfigurable Talbot effect [33], and coherent perfect laser absorbers [34,35].…”

Section: Introductionmentioning

confidence: 99%

PT-Symmetric Acoustics

et al. 2014

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We introduce here the concept of acoustic parity-time (PT ) symmetry and demonstrate the extraordinary scattering characteristics of the acoustic PT medium. On the basis of exact calculations, we show how an acoustic PT -symmetric medium can become unidirectionally transparent at given frequencies. Combining such a PT -symmetric medium with transformation acoustics, we design two-dimensional symmetric acoustic cloaks that are unidirectionally invisible in a prescribed direction. Our results open new possibilities for designing functional acoustic devices with directional responses.

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“…This mathematical discovery has initiated numerous studies of open systems with balanced gain and loss even though the generality of this construction is under discussion [3]. Experimental setups have been offered to create PT -symmetric physical systems in optics [4][5][6][7][8], electronic circuits [9][10][11], as well as in mechanical systems [12].…”

Section: Introductionmentioning

confidence: 99%

Interaction of sine-Gordon kinks and breathers with a parity-time-symmetric defect

2014

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The scattering of kinks and low-frequency breathers of the nonlinear sine-Gordon (SG) equation on a spatially localized parity-time-symmetric perturbation (defect) with a balanced gain and loss is investigated numerically. It is demonstrated that if a kink passes the defect, it always restores its initial momentum and energy, and the only effect of the interaction with the defect is a phase shift of the kink. A kink approaching the defect from the gain side always passes, while in the opposite case it must have sufficiently large initial momentum to pass through the defect instead of being trapped in the loss region. The kink phase shift and critical velocity are calculated by means of the collective variable method. Kink-kink (kink-antikink) collisions at the defect are also briefly considered, showing how their pairwise repulsive (respectively, attractive) interaction can modify the collisional outcome of a single kink within the pair with the defect. For the breather, the result of its interaction with the defect depends strongly on the breather parameters (velocity, frequency, and initial phase) and on the defect parameters. The breather can gain some energy from the defect and as a result potentially even split into a kink-antikink pair, or it can lose a part of its energy. Interestingly, the breather translational mode is very weakly affected by the dissipative perturbation, so that a breather penetrates more easily through the defect when it comes from the lossy side, than a kink. In all studied soliton-defect interactions, the energy loss to radiation of small-amplitude extended waves is negligible.

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LocalPTSymmetry Violates the No-Signaling Principle

Cited by 165 publications

References 38 publications

Increase of entanglement by localPT-symmetric operations

Increase of entanglement by localPT-symmetric operations

PT-Symmetric Acoustics

Interaction of sine-Gordon kinks and breathers with a parity-time-symmetric defect

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