Communication between inertial observers with partially correlated reference frames

Ahmadi, Mehdi; Smith, Alexander R. H.; Dragan, Andrzej

doi:10.1103/physreva.92.062319

Cited by 25 publications

(23 citation statements)

References 33 publications

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“…The output modes ψ Λ are not determined by the choice of the input modes φ Λ , and their most general form is given by Eq. (29). In this work we consider two natural possible choices of the output modes.…”

Section: Choice Of the Modesmentioning

confidence: 99%

Effect of relativistic acceleration on localized two-mode Gaussian quantum states

et al. 2016

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We study how an arbitrary Gaussian state of two localized wave packets, prepared in an inertial frame of reference, is described by a pair of uniformly accelerated observers. We explicitly compute the resulting state for arbitrarily chosen proper accelerations of the observers and independently tuned distance between them. To do so, we introduce a generalized Rindler frame of reference and analytically derive the corresponding state transformation as a Gaussian channel. Our approach provides several new insights into the phenomenon of vacuum entanglement such as the highly nontrivial effect of spatial separation between the observers including sudden death of entanglement. We also calculate the fidelity of the two-mode channel for non-vacuum Gaussian states and obtain bounds on classical and quantum capacities of a single-mode channel. Our framework can be directly applied to any continuous variable quantum information protocol in which the effects of acceleration or gravity cannot be neglected.

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Section: Choice Of the Modesmentioning

confidence: 99%

Effect of relativistic acceleration on localized two-mode Gaussian quantum states

et al. 2016

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“…Another avenue of exploration is the construction of relativistic quantum reference frames from the relativistic clock particles considered here 15 , 58 – 61 . In particular, one might define relational coordinates with respect to a reference particle and examine the corresponding relational quantum theory and the possibility of changing between different reference frames 62 – 69 .…”

Section: Discussionmentioning

confidence: 99%

Quantum clocks observe classical and quantum time dilation

Smith

Ahmadi

2020

Nat Commun

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At the intersection of quantum theory and relativity lies the possibility of a clock experiencing a superposition of proper times. We consider quantum clocks constructed from the internal degrees of relativistic particles that move through curved spacetime. The probability that one clock reads a given proper time conditioned on another clock reading a different proper time is derived. From this conditional probability distribution, it is shown that when the center-of-mass of these clocks move in localized momentum wave packets they observe classical time dilation. We then illustrate a quantum correction to the time dilation observed by a clock moving in a superposition of localized momentum wave packets that has the potential to be observed in experiment. The Helstrom-Holevo lower bound is used to derive a proper time-energy/mass uncertainty relation.

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“…If instead Bob has some partial information about the relation between his reference frame and Alice's, the uniform average over all possible g ∈ G in Eq. (1) would be replaced with a weighted average encoding Bob's partial information [8,9]. In general, the G-twirl results in decoherence, not from the system interacting with an environment and information being lost to the environment, but from Bob's lack of knowledge about the relationship between his reference frame and Alice's.…”

Section: Communication Without a Shared Classical Reference Framementioning

confidence: 99%

Communicating without shared reference frames

Smith

2019

Phys. Rev. A

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We generalize a quantum communication protocol introduced by Bartlett et al. [New. J. Phys. 11, 063013 (2009)] in which two parties communicating do not share a classical reference frame, to the case where changes of their reference frames form a one-dimensional noncompact Lie group. Alice sends to Bob the state ρR ⊗ρS, where ρS is the state of the system Alice wishes to communicate and ρR is the state of an ancillary system serving as a token of her reference frame. Because Bob is ignorant of the relationship between his reference frame and Alice's, he will describe the state ρR ⊗ ρS as an average over all possible reference frames. Bob measures the reference token and applies a correction to the system Alice wished to communicate conditioned on the outcome of the measurement. The recovered state ρ S is decohered with respect to ρS, the amount of decoherence depending on the properties of the reference token ρR. We present an example of this protocol when Alice and Bob do not share a reference frame associated with the one-dimensional translation group and use the fidelity between ρS and ρ S to quantify the success of the recovery operation. arXiv:1812.08053v1 [quant-ph]

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Communication between inertial observers with partially correlated reference frames

Cited by 25 publications

References 33 publications

Effect of relativistic acceleration on localized two-mode Gaussian quantum states

Effect of relativistic acceleration on localized two-mode Gaussian quantum states

Quantum clocks observe classical and quantum time dilation

Communicating without shared reference frames

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