Index
- A
- average - A
- B
- basis vectors (real) C.2.1
- binary numbers F.2
- bit 1.3
- bit-flip operation 2.3.2
- Bloch Sphere 3.5.4
- bra C.4
- bracket A, C.4
- C
- check-sum F.3.1
- closed-system evolution 1.4
- CNOT gate(see controlled NOT)
- Code F.3.4
- Code word F.3.4
- Code distance F.3.4
- commutator 2.3.2,
- complex conjugate 2.7.1, B
- complex number B
- computational basis 2.2
- controlled NOT 2.6.1, 2.6.2, 5.4, 5.5
- controlled phase gate 6.1
- controlled unitary operation 2.6.1
- D
- decoherence 2.1
- degenerate C.6
- delta
- Kronecker C.4
- dense coding 5.4
- density matrix 3.3,3.5
- density operator E
- determinant C.3.6
- disjointness condition F.5
- distance (see also, code distance F.3.4)
- DiVencenzo's requirements 2.1
- Dirac notation C.2.1, C.2.2, C.4
- dot product 2.4, C.2.1, E
- dual code F.8.1
- dual matrix F.4.2
- E
- eigenvalue decomposition C.6
- eigenvalues C.6
- eigenvectors C.6
- epsilon tensor (see Levi-Civita Tensor)
- entangled states (see entanglement)
- entanglement 4, 5.4, 1.2.5
- error syndrome F.4.2
- expectation value 3.6
- F
- field F.2
- H
- Hadamard gate 2.16
- Hamiltonian 3.2
- Hamming distance F.3.3
- Hamming weight, or weight F.3.2
- Hermitian matrix 2.4, 3.2, 3.4, 3.5, 8.2, 8.3, C.3.3, C.6.1, E
- Hilbert-Schmidt inner product 2.4
- L
- Levi-Civita Tensor C.3.6
- Generalized C.3.6
- linear code F.3.8
- local operations 4.2
- local unitary transformations 4.2, 4.2.1
- M
- matrix exponentiation 3.2
- maximally entangled states 4.3.1
- maximally mixed state 3.5.3
- two qubits
- mean (see Average)
- median A
- minimum distance of a code (also code distance) F.3.5
- mixed state density matrix 3.5
- modulus squared B
- O
- open quantum systems 1.4
- open-system evolution 1.4
- operator-sum decomposition 8.4
- orthogonal 2.4, 3.5.4, 5.2, E
- P
- parity check F.3.1
- parity check matrix F.4.2
- partial trace
- of a Bell state 4.3.1
- Pauli matrices 2.4, 3.4, 3.5.4
- phase gate 2.3.2
- phase-flip 2.3.2
- Planck's constant 3.2
- projection operator 2.7.2
- pure state 3.3, 4.2, E
- Q
- Qbit (see qubit)
- quantum bit 1.3
- quantum dense coding (see dense coding)
- quantum gates 2.1, 2.3, 2.6
- qubit 1.3
- R
- reduced density operator 4.3.1
- of a Bell state 4.3.1
- reduced density matrix 4.3.1
- see reduced density operator
- reduced density operator 4.3.1
- requirements for scalable quantum computing 2.1
- S
- scalability
- Schrodinger Equation 3.2
- for density matrix 3.3
- separable state 4.3
- simply separable 4.3
- similar matrices C.5
- similarity transformation C.5
- singular values C.6
- special unitary matrix 3.4
- spectrum C.6
- standard deviation A
- SU C.3.8
- syndrome measurement F.4.2
- T
- teleportation 5.5
- tensor product C.7
- trace C.3.5
- partial(see partial trace)
- transformation 1.3, 2.3, 2.3.1, 2.3.2, 2.4, 2.6, 2.6.1, 2.6.2, 2.7.1, 2.7.2, 3.2, 3.3, 3.4, 3.5.3, 4.2, 4.2, 4.2.1, 4.2, 4.2, 8.3, 8.3.2, 8.4.1, 8.4.2, C.5, D.1
- transpose C.3.2
- U
- uncertainty principle 5.3
- unitary matrix 2.3, C.3.8, D.7.2
- universal set of gates 2.6
- universality 2.6
- V
- variance 5.3
- W
- weight, or Hamming weight F.3.2
- X
- X-gate 2.3.2
- Y
- Y-gate 2.3.2
- Z
- Z-gate 2.3.2