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Fidelity
... measure between pure states used to be called "transition probability". For two states given by unit vectors ϕ , ψ it is ... square root fidelity . It has no interpretation as a probability, but appears in some estimates in a simpler way. Basic ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Strong coin tossing
... given a figure of merit depending on the maximum cheating probability they allow. Coin tossing comes in two flavours, weak and ... the same outcome, b\in\{0,1\} where outcome b occurs with probability \frac{1}{2}+\zeta_b(N_1,\ldots,N_r), or “abort” which occurs ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Measurements and preparations
... will result in the outcome x ∈ X with probability $tr(E_{x} \varrho)$ . In the Heisenberg representation ... \rightarrow S(\mathcal{H})$ mapping a classical probability distribution f : = { f x } x onto ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Q+ Hangout: Bill Wootters
... (Williams College) Title: What is the origin of complex probability amplitudes? Abstract: I begin this presentation with an attempt to explain the origin of probability amplitudes in quantum theory, but the explanation makes sense only ...
Conference - Mleifer - 26/10/2015 - 17:08
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Classical information
... 2 , x 3 ... x m } each one occuring with probability { p ( x 1 ), p ( x 2 ), p ( x 3 )... p ( x m )} . We denote this probability distribution by P X . Shannon showed that the ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:37 - 0 comments
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Classical channel capacity
... unit time) that can be achieved with vanishingly small error probability. Information theory, developed by Claude E. Shannon in 1948, ... our channel. Let p ( x ∣ y ) be the conditional probability distribution function of X given Y. We will consider p ( x ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Quantum discord
... where p x is the probability of occurrence of event X . When ${\mathcal H}(X)=0$ , the ... is represented by ${\mathcal H}(B|A)$ . Using classical probability theory, it can be expressed as $${\mathcal ... p ( b j ∣ a i ) is the conditional probability of occurrence of event b j given that event a ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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BB84 and Ekert91 protocols
... n q \Sigma f_r t_l }{2}$ µ p f : probability for a wrong 'click' (1-2%) p d : probability for a wrong photon signal (Si: 10 − 7 ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Quantum error correction and fault-tolerance
... If we have a channel which causes errors independently with probability O ( ε ) on each qubit in the QECC, then the code will allow us to decode a correct state except with probability O ( ε t + 1 ) , which is the probability of ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Index of notational and terminological conventions
... the two, using H for the "Shannon entropy" of a classical probability distribution, and S for the "von Neumann entropy" of a quantum ... measure between pure states used to be called "transition probability". For two states given by unit vectors ϕ , ψ it is ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments