Theory of the evolutionary minority game

Lo, T. S.; Hui, P. M.; Johnson, Neil F.

doi:10.1103/physreve.62.4393

Cited by 143 publications

(186 citation statements)

References 15 publications

Supporting

Mentioning

186

Contrasting

Order By: Relevance

“…In this context many problems become trivial. For example, consider a situation in which Alice wants to 'teleport' [1] a quantum state, whose identity is known to her, to Bob (this has come to be known as 'remote state preparation' [2][3][4]). If classical information is considered to be free, then no teleportation-type procedure is actually needed.…”

Section: Introductionmentioning

confidence: 99%

Countering quantum noise with supplementary classical information

Barrett¹

2003

Phys. Rev. A

View full text Add to dashboard Cite

We consider situations in which i) Alice wishes to send quantum information to Bob via a noisy quantum channel, ii) Alice has a classical description of the states she wishes to send and iii) Alice can make use of a finite amount of noiseless classical information. After setting up the problem in general, we focus attention on one specific scenario in which Alice sends a known qubit down a depolarizing channel along with a noiseless cbit. We describe a protocol which we conjecture is optimal and calculate the average fidelity obtained. A surprising amount of structure is revealed even for this simple case which suggests that relationships between quantum and classical information could in general be very intricate. PACS number(s): 03.67.-a

show abstract

Section: Introductionmentioning

confidence: 99%

Countering quantum noise with supplementary classical information

Barrett¹

2003

Phys. Rev. A

View full text Add to dashboard Cite

show abstract

“…Given the unitary operations {u m } n−1 m=0 , we can find an ensemble of states that satisfy Eq. (3). If the number of states in the ensemble is less than n the RSP protocol is useless.…”

Section: Rsp Achieved By Using Minimum Classical Bitsmentioning

confidence: 99%

Faithful remote state preparation using finite classical bits and a nonmaximally entangled state

2004

View full text Add to dashboard Cite

We present many ensembles of states that can be remotely prepared by using minimum classical bits from Alice to Bob and their previously shared entangled state and prove that we have found all the ensembles in two-dimensional case. Furthermore we show that any pure quantum state can be remotely and faithfully prepared by using finite classical bits from Alice to Bob and their previously shared nonmaximally entangled state though no faithful quantum teleportation protocols can be achieved by using a nonmaximally entangled state. PACS number(s): 03.67.HK, 03.65.Ud

show abstract

“…The choice of which type of measurement will be used in certain quantum information protocols, such as remote state preparation [3][4][5] or quantum state discrimination [6], is important. For example, in the case of unambiguous quantum state discrimination [7], Peres [8] showed that the POVMs found by Dieks [9] are actually the ones that minimize the failure probability.…”

Section: Introductionmentioning

confidence: 99%

Higher quantum bound for the Vértesi-Bene-Bell inequality and the role of positive operator-valued measures regarding its threshold detection efficiency

et al. 2012

View full text Add to dashboard Cite

Recently, Vértesi and Bene [Phys. Rev. A. 82, 062115 (2010)] derived a two-qubit Bell inequality, ICH3, which they show to be maximally violated only when more general positive operator valued measures (POVMs) are used instead of the usual von Neumann measurements. Here we consider a general parametrization for the three-element-POVM involved in the Bell test and obtain a higher quantum bound for the ICH3-inequality. With a higher quantum bound for ICH3, we investigate if there is an experimental setup that can be used for observing that POVMs give higher violations in Bell tests based on this inequality. We analyze the maximum errors supported by the inequality to identify a source of entangled photons that can be used for the test. Then, we study if POVMs are also relevant in the more realistic case that partially entangled states are used in the experiment. Finally, we investigate which are the required efficiencies of the ICH3-inequality, and the type of measurements involved, for closing the detection loophole. We obtain that POVMs allow for the lowest threshold detection efficiency, and that it is comparable to the minimal (in the case of twoqubits) required detection efficiency of the Clauser-Horne-Bell-inequality.

show abstract

Theory of the evolutionary minority game

Cited by 143 publications

References 15 publications

Countering quantum noise with supplementary classical information

Countering quantum noise with supplementary classical information

Faithful remote state preparation using finite classical bits and a nonmaximally entangled state

Higher quantum bound for the Vértesi-Bene-Bell inequality and the role of positive operator-valued measures regarding its threshold detection efficiency

Contact Info

Product

Resources

About