Varignon's theorem
In quantum information science, the concurrence is an entanglement monotone defined for a mixed state of two qubits as.[1][2][3][4]
in which are the eigenvalues, in decreasing order, of the Hermitian matrix
with
the spin-flipped state of , a Pauli spin matrix, and the eigenvalues listed in decreasing order. Alternatively, the 's represent the square roots of the eigenvalues of the non-Hermitian matrix .[2] Note that each is a non-negative real number. From the concurrence, the entanglement of formation can be calculated.
For pure states, the concurrence is a polynomial invariant in the state's coefficients.[5] For mixed states, the concurrence can be defined by convex roof extension.[3]
For the concurrence, there is monogamy of entanglement,[6][7] that is, the concurrence of a qubit with the rest of the system cannot ever exceed the sum of the concurrences of qubit pairs which it is part of.
References
43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.
- ↑ Cite error: Invalid
<ref>
tag; no text was provided for refs namedHill1997
- ↑ 2.0 2.1 Cite error: Invalid
<ref>
tag; no text was provided for refs namedWootters1998
- ↑ 3.0 3.1 Cite error: Invalid
<ref>
tag; no text was provided for refs namedHildebrand2007
- ↑ Cite error: Invalid
<ref>
tag; no text was provided for refs namedHorodecki2009
- ↑ Cite error: Invalid
<ref>
tag; no text was provided for refs namedDjocovic2009
- ↑ Cite error: Invalid
<ref>
tag; no text was provided for refs namedCoffman2000
- ↑ Cite error: Invalid
<ref>
tag; no text was provided for refs namedOsborne2006