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Words: 3k
Articles: 139
Table of contents
3k
139
Gauge covariance of the Schrödinger equation
Quantum theory
26
Quantum measurement
Quantum theory
23
Amplitude amplification
Quantum theory
50
Density operator
Quantum theory
208
6
Von Neumann entropy
Density operator
54
1
Entanglement entropy
Von Neumann entropy
29
Purity of a density operator
Density operator
28
Reduced density operator of a weakly coupled oscillator pair
Density operator
24
Bloch vector
Density operator
71
1
Informationally complete three-observable qubit tomography
Bloch vector
50
Quantum no-signalling
Quantum theory
12
Quantum cloning
Quantum theory
135
3
No-cloning theorem for two pure states
Quantum cloning
34
Clone-assisted asymptotic state discrimination
Quantum cloning
36
Perfect discrimination implies cloning for a known state family
Quantum cloning
37
Environment-assisted two-state pure-state transformation
Quantum theory
51
Helstrom-Holevo bound
Quantum theory
66
3
Helstrom measurement for two pure states
Helstrom-Holevo bound
35
1
Helstrom measurement for the zero and plus states
Helstrom measurement for two pure states
19
Perfect distinguishability of pure states
Helstrom-Holevo bound
18
Unitary gate discrimination
Quantum theory
143
8
Single-use perfect discrimination of two unitary gates
Unitary gate discrimination
12
Numerical range
Unitary gate discrimination
24
1
Numerical range of a normal matrix
Numerical range
15
Unit-circle spectrum of a unitary operator
Unitary gate discrimination
12
Spectral arc length of a unitary operator
Unitary gate discrimination
72
3
Spectral arc length of a phase gate
Spectral arc length of a unitary operator
6
Origin in the convex hull of unit-circle points
Spectral arc length of a unitary operator
46
1
Spectral-arc criterion for perfect unitary discrimination
Origin in the convex hull of unit-circle points
13
Robertson uncertainty principle
Quantum theory
85
2
Quadratic-norm proof of the Heisenberg uncertainty relation
Robertson uncertainty principle
29
Equality case of the Heisenberg uncertainty relation
Robertson uncertainty principle
52
Gaussian eigenstate for a quadratic potential
Quantum theory
34
Coherent state
Quantum theory
16
Born approximation
Quantum theory
10
Toffoli gate
Quantum theory
11
Boolean quantum oracle
Quantum theory
163
5
Quantum phase kickback
Boolean quantum oracle
115
3
Bernstein-Vazirani phase kickback
Quantum phase kickback
29
Marked-state phase oracle
Quantum phase kickback
68
1
Marked-state phase oracle from a single faulty identity-oracle query
Marked-state phase oracle
53
Compute-phase-uncompute construction
Boolean quantum oracle
35
Quantum circuit
Quantum theory
31
Grover search algorithm
Quantum theory
112
4
Grover diffusion operator
Grover search algorithm
35
1
Inversion about the mean
Grover diffusion operator
19
Grover rotation angle
Grover search algorithm
55
1
Exact Grover search on four entries
Grover rotation angle
23
Quantum measurement in the computational basis
Quantum theory
19
Deutsch-Jozsa algorithm
Quantum theory
52
1
Deutsch-Jozsa test with an arbitrary uniform-state unitary
Deutsch-Jozsa algorithm
32
Quantum Fourier transform
Quantum theory
300
7
Square of the quantum Fourier transform
Quantum Fourier transform
19
Quantum Fourier transform of a periodic coset state
Quantum Fourier transform
41
Quantum period finding
Quantum Fourier transform
164
2
Exact period recovery from a Fourier sample
Quantum period finding
120
1
Heralded exact quantum period finding when the period divides the register size
Exact period recovery from a Fourier sample
77
Cyclic shift diagonalization by the quantum Fourier transform
Quantum Fourier transform
26
Exact quantum phase estimation
Quantum Fourier transform
39
BB84 protocol
Quantum theory
35
Breidbart basis
Quantum theory
32
Bell state
Quantum theory
349
12
Reduced density matrix
Bell state
151
5
Product state
Reduced density matrix
24
Entangled state
Reduced density matrix
69
2
Entanglement criterion for a two-term correlated state
Entangled state
20
Entanglement concentration
Entangled state
19
Local indistinguishability of Bell-state phase
Reduced density matrix
25
Local operations and classical communication
Bell state
131
4
LOCC discrimination of two Bell states
Local operations and classical communication
28
Quantum teleportation
Local operations and classical communication
83
2
No-programming theorem
Quantum teleportation
35
Teleportation with the psi-plus Bell state
Quantum teleportation
21
Quantum dense coding
Bell state
54
Variational method
Quantum theory
207
8
Nodeless theorem for a one-dimensional ground state
Variational method
26
Exact ground state of a solvable sextic potential
Variational method
20
Gaussian variational estimate for a solvable sextic potential
Variational method
24
Ground-state energy monotonicity under potential ordering
Variational method
27
Quantum virial identity from scaling
Variational method
52
1
Fall to the centre for a supercritical inverse-power potential
Quantum virial identity from scaling
26
Exact variational solution in a two-level system
Variational method
44
1
Level repulsion in a two-level Hamiltonian
Exact variational solution in a two-level system
18
Landau level
Quantum theory
291
11
Magnetic minimal coupling
Landau level
30
Cyclotron frequency
Landau level
22
Landau gauge
Landau level
39
Degeneracy of a Landau level
Landau level
28
Spin splitting of Landau levels
Landau level
36
Landau levels in crossed electric and magnetic fields
Landau level
35
Symmetric gauge
Landau level
84
4
Kinetic momentum and magnetic pseudomomentum
Symmetric gauge
73
3
Magnetic translation operator
Kinetic momentum and magnetic pseudomomentum
59
2
Magnetic translation algebra
Magnetic translation operator
31
1
Magnetic flux quantum
Magnetic translation algebra
18
Bloch theorem
Quantum theory
303
12
Periodic potential
Bloch theorem
23
Energy band
Bloch theorem
15
Nearly-free electron model
Bloch theorem
59
1
Nearly-free electron dispersion near a one-dimensional band gap
Nearly-free electron model
27
Floquet matrix for a one-dimensional periodic potential
Bloch theorem
62
1
Floquet discriminant and energy bands
Floquet matrix for a one-dimensional periodic potential
35
Kronig-Penney model
Bloch theorem
56
2
Floquet discriminant of the delta-comb Kronig-Penney model
Kronig-Penney model
14
Scattering-amplitude equations for one-dimensional band edges
Kronig-Penney model
35
Tight-binding model
Bloch theorem
48
1
Finite periodic tight-binding ring
Tight-binding model
28
Brillouin zone
Bloch theorem
25
Hadamard gate
Quantum theory
7
Pauli Z gate
Quantum theory
12
Pauli X gate
Quantum theory
9
Inverse quantum circuit
Quantum theory
23
Controlled unitary gate
Quantum theory
231
11
Controlled-NOT gate
Controlled unitary gate
154
6
SWAP gate
Controlled-NOT gate
28
1
Three-CNOT decomposition of the SWAP gate
SWAP gate
20
GHZ state
Controlled-NOT gate
117
3
Bell measurement on one qubit and one leg of a GHZ state
GHZ state
36
Quantum circuit preparation of a three-qubit GHZ state
GHZ state
27
Three-party dense coding with a GHZ state
GHZ state
47
Hadamard test
Controlled unitary gate
47
2
Eigenphase Hadamard-test probability
Hadamard test
14
Imaginary-part Hadamard test
Hadamard test
20
Swap test
Controlled unitary gate
14
Parallel quantum gates
Quantum theory
14
Measurement of a Pauli observable
Quantum theory
28
Born rule for a product-basis measurement
Quantum theory
40
2
Matching-outcome projector
Born rule for a product-basis measurement
16
Product-state factorization of measurement probabilities
Born rule for a product-basis measurement
10
Maximally entangled state
Quantum theory
49
2
Orthogonal-basis invariance of a real Bell state
Maximally entangled state
17
Bell-state correlation in two real bases
Maximally entangled state
17
Shor algorithm
Quantum theory
152
6
Factor extraction from an even modular order
Shor algorithm
23
Quantum order finding
Shor algorithm
108
4
Fourier transform of a finite periodic comb
Quantum order finding
44
1
Finite geometric Fourier amplitude
Fourier transform of a finite periodic comb
21
Continued-fraction recovery in quantum order finding
Quantum order finding
43
1
Uniqueness of a rational approximation with bounded denominator
Continued-fraction recovery in quantum order finding
24
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