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 operation
D
decoherence
degenerate
delta
Kronecker
dense coding 5.4
density matrix
for two qubits
mixed state
pure state
density operator
determinant C.3.6
DiVencenzo's requirements
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
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
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