Index

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A
average - Appendix A
B
basis vectors real - Appendix C
bit - Chapter 1
bit-flip operation - 2.3.2
Bloch Sphere 3.5.4
C
closed-system evolution
CNOT gate(see controlled NOT)
commutator 2.3.2,
complex conjugate Appendix B
of a matrix C.3.1
complex number Appendix B
computational basis
controlled NOT 2.6.1, 2.6.2, 5.4, 5.5
controlled phase gate
controlled unitary operation2.6.1
D
decoherence
degenerate
delta
Kronecker
dense coding 5.4
density matrix 3.3,3.5
for two qubits 3.5.2, 3.5.3, 3.5.4
mixed state 3.5
pure state 3.3
density operator
determinant C.3.6
DiVencenzo's requirements 2.1
dot product
E
eigenvalue decomposition
eigenvalues C.6
eigenvectors C.6
entangled state
expectation value
F
G
group D.2
H
Hadamard gate (2.16)
Hamiltonian
Hermitian matrix
Hilbert-Schmidt inner product
I
inner product
inverse of a matrix C.3.7
K
ket C.2.2
Kraus operators
Kronecker delta C.4
Kronecker product
L
local operations
local unitarty transformations
M
matrix exponentiation 3.2
maximally entangled states
maximally mixed state
two qubits
mean
median
mixed state density matrix
modulus squared
O
open quantum systems
open-system evolution
operator-sum decomposition
orthogonal
vectors
P
partial trace
of a Bell state
Pauli matrices 2.4, 3.4,

3.5.4

phase gate
phase-flip
Planck's constant
projection operator
Q
Qbit
quantum bit
quantum dense coding
quantum gates
qubit
R
reduced density operator
of a Bell state
reduced density matrix
see reduced density operator
reduced density operator
requirements for scalable quantum computing 2.1
S
scalability
Schrodinger Equation
for density matrix
separable state
simply separable
similar matrices
similarity transformation
singular values
special unitary matrix
spectrum
standard deviation
SU
T
teleportation 5.5
tensor product C.7
trace C.3.5
partial(see partial trace)
transpose C.3.2
U
uncertainty principle 5.3
unitary matrix
universal set of gates
universality
V
variance
X
x-gate
Z
z-gate