Quantum Definitions Flashcards
1
Q
Conditions to be a projector
A
Hermitian and idempotent
2
Q
Hadamard gate
A
3
Q
Pauli matrices (gates)
A
4
Q
eigenvalues of Pauli matrices
A
+ or - 1 since they square to 1
5
Q
Ramsey interferometer
A
6
Q
Phase shift gate
A
7
Q
Any 2x2 unitary matrix can be written as
A
8
Q
Conditions of a density matrix
A
Hermitian
Positive semi definite (positive eigenvalues)
Trace = 1
9
Q
Von Neumann entropy
A
10
Q
How to know if a state is pure from a density matrix
A
Tr(rho^2) is always less than or equal to 1
Tr(rho^2) = 1 for a pure state
11
Q
Kraus operator
A
12
Q
CPTP map
A
Completely positive trace preserving map over all density matrices
13
Q
General form of a density matrix
A
1/2 (1 + n.sigma) where |n| <= 1
14
Q
A
15
Q
Kraus rep
A
16
Q
Stinespring representation
A
