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Quantum Cryptography
... she needs to know to measure the qubits in the correct basis and get the correct values. Everywhere I read argues that Eve can't ... is only unchanged if it is diagonal in the computational basis. For example if you start out with a state |+>|-> (where the first is the ...
Forum topic - Ferzle - 26/10/2015 - 17:08 - 2 comments
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Key distribution via entanglement
... bits, and upon measuring it, assuming they used the same basis will be certain of the others result. Then using this they can detect the ... i think, so if Alice reads a 0 everyone else using the same basis as her reads 0, and make the chance of all parties correctly choosing the ...
Forum topic - Snow - 26/10/2015 - 17:08 - 1 comment
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Separability criteria
... ϕ B i ) * is taken in the same basis in which the partial transposition operation on $\; \varrho_{AB}$ is ... detecting PPT entangled states is the unextendible product basis methods. Definition: An unextendible product basis is a set ...
Wiki article - Anonymous (not verified) - 04/05/2016 - 17:37 - 0 comments
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Quantum discord
... depends on its outcomes. Measurements in quantum theory are basis dependent and also change the state of the system. Henderson and Vedral ... Thus for any quantum state and every orthonormal measurement basis, there exists a classically correlated state. Maximization of , J ( ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Observables and measurements
... means, that each observable generates an orthonormal basis , which elements will make up the state after measurement. Here ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Optical Lattices
... therefore select two of these hyperfine levels to act as the basis of our qubits - these are both ground states and therefore stable. ... confinement of the atoms. It is typical to choose our basis states to be magnetically sensitive, such as |0>=|F=1,m_f=1> and ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Entanglement of assistance
... matrix relative to its complex conjugate in the magic basis $\; \tilde{\varrho}$ . Lower bounds In general we can get ... the above idea to density matrices diagonal in a product basis we get the diagonal lower bound : $$\; E_{ass}(\varrho) \geq ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Bra-ket notation
... revealed when the state is projected onto a coordinate basis. For instance, the simple notation |1s> describes the first hydrogen ... and spherical harmonics when projected onto the basis of position vectors | r >. The resulting expression Ψ ( r )=< r ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Quantum error correction and fault-tolerance
... {∣ ψ i ⟩} form an orthonormal basis for C. The salient point in these error-correction conditions ... C a b does not depend on the encoded basis states i and j , which roughly speaking indicates that ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Hadamard
... gate ), is a one- qubit rotation , mapping the qubit-basis states |0› and |1› to two superposition states with equal weight of the computational basis states ∣0⟩ and ∣1⟩ . Usually the phases are chosen so that ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments