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Superfidelity
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Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Fidelity
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Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Multipartite
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Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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The Church of the larger Hilbert space
... useful not to go to a larger Hilbert space, but to work with operators between the input and output Hilbert spaces of the channel itself. ... k ⟩ of the ancilla space K and define the Kraus operators t k in terms of Stinespring's unitary U as ...
Wiki article - Anonymous (not verified) - 05/04/2023 - 22:02 - 0 comments
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Bell's theorem
... = \frac{1}{\sqrt{2}} \ I \otimes (S_z - S_x).$$ The operators B ( b ′), B ( b ) correspond to Bob's spin measurements along x ′ and z ′. Note that the A operators commute with the B operators, so we can apply our calculation for ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:37 - 0 comments
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Self-adjoint operator
... of A . It must be noticed that for bounded operators the adjoint operator can be defined naturally, whereas for unbounded operators this can be done only if the domain of A , D( A ) , ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Phonon
... atom, and xi and pi are the position and momentum operators for the i th atom. A discussion of similar Hamiltonians may be ... obey the same commutation relations as position and momentum operators! Writing the Hamiltonian in terms of these quantities, ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Enhancement of channel capacities with entanglement
... Hilbert space of the quantum system and the set of density operators on that system. Thus, a quantum channel N: A ʹ → B ... a trace-preserving, completely positive (TPCP) map from the operators on the Hilbert space of A ʹ to those of B . id C ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Bra-ket notation
... in order to describe in a uniform manner vectors and linear operators both in the abstract Hilbert space of the state vectors, H ... defined for bras and kets can be extended to linear operators and we have the follwoing general rule: The conjugate of any ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Quantum error correction and fault-tolerance
... , or Z (i.e., not as the identity). Then the Pauli operators of weight t or less form a basis for the set of all errors ... t or fewer qubits, so a QECC which corrects these Pauli operators corrects all errors acting on up to t qubits. If we have a ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments