Quantum information theory
In physics and computer science, quantum information is physical information that is held in the state of a quantum system. Quantum information is the basic entity that is studied in the burgeoning fi...
Greenberger–Horne–Zeilinger state
In physics, in the area of quantum information theory, a Greenberger–Horne–Zeilinger state is a certain type of entangled quantum state which involves at least three subsystems (particles). It was fir...
No-teleportation theorem
In quantum information theory, the no-teleportation theorem states that an arbitrary quantum state cannot be measured with complete accuracy. In essence, it states that the unit of quantum informatio...
POVM
In functional analysis and quantum measurement theory, a positive-operator valued measure (POVM) is a measure whose elements are non-negative self-adjoint operators on a Hilbert space. It is the most ...
POVM - Wikipedia
Quantum capacity
In the theory of quantum communication, the quantum capacity is the highest rate at which quantum information can be communicated over many independent uses of a noisy quantum channel from a sender to...
Quantum capacity - Wikipedia
Classical capacity
In quantum information theory, the classical capacity of a quantum channel is the maximum rate at which classical data can be sent over it error-free in the limit of many uses of the channel. Holevo, ...
Quantum information
In physics and computer science, quantum information is physical information that is held in the state of a quantum system. Quantum information is the basic entity that is studied in the burgeoning fi...
Bistochastic quantum channel
In quantum information science, a bistochastic quantum channel is a quantum channel which is unital, i.e. .
Joint quantum entropy
The joint quantum entropy generalizes the classical joint entropy to the context of quantum information theory. Intuitively, given two quantum states and , represented as density operators that are ...
Coherent information
Coherent information is an entropy measure used in quantum information theory. It is a property of a quantum state ρ and a quantum channel ; intuitively, it attempts to describe how much of the quant...
Channel-state duality
In quantum information theory, the channel-state duality refers to the correspondence between quantum channels and quantum states (described by density matrices). Phrased differently, the duality is t...
Entropic uncertainty
In quantum mechanics, information theory, and Fourier analysis, the entropic uncertainty or Hirschman uncertainty is defined as the sum of the temporal and spectral Shannon entropies. It turns out th...
Strong Subadditivity of Quantum Entropy
Strong subadditivity of entropy (SSA) was long known and appreciated in classical probability theory andinformation theory.Its extension to quantum mechanical entropy (the von Neumann entropy) was co...
Conditional quantum entropy
The conditional quantum entropy is an entropy measure used in quantum information theory. It is a generalization of the conditional entropy of classical information theory. For a bipartite state , ...
Quantum depolarizing channel
A quantum depolarizing channel is a model for noise in quantum systems. The d-dimensional depolarizing channel can be viewed as a completely positive trace-preserving map , depending on one parameter ...
Braunstein-Ghosh-Severini Entropy
In network theory, the Braunstein-Ghosh-Severini entropy (BGS entropy) of a network is the von Neumann entropy of a density matrix given by a normalized Laplacian matrix of the network. This definitio...
Quantum relative entropy
In quantum information theory, quantum relative entropy is a measure of distinguishability between two quantum states. It is the quantum mechanical analog of relative entropy.
For simplicity, it w...
Entanglement witness
In quantum information theory, an entanglement witness is a functional which distinguishes a specific entangled state from separable ones. Entanglement witnesses can be linear or nonlinear functional...
Bennett's laws
Bennett's laws of quantum information are:where indicates 'can do the job of.'These principles were formulated around 1993 by Charles H. Bennett.
Mutually unbiased bases
In quantum information theory, mutually unbiased bases in Hilbert space C are two orthonormal bases and such that the square of the magnitude of the inner product between any basis states and equa...
Quantum t-design
A Quantum t-design is a probability distribution over pure quantum states which can duplicate properties of the probability distribution over the Haar measure for polynomials of degree t or less. Spec...
Superoperator
In physics, a superoperator is a linear operator acting on a vector space of linear operators.Sometimes the term refers more specially to a completely positive map which does not increase or preserves...
Quantum channel
In quantum information theory, a quantum channel is a communication channel which can transmit quantum information, as well as classical information. An example of quantum information is the state of...
Generalized relative entropy
Generalized relative entropy (-relative entropy) is a measure of dissimilarity between two quantum states. It is a "one-shot" analogue of quantum relative entropy and shares many properties of the lat...
Quantum finite automata
In quantum computing, quantum finite automata or QFA or quantum state machines are a quantum analog of probabilistic automata. They are related to quantum computers in a similar fashion as finite auto...
Quantum finite automata - Wikipedia
Typical subspace
In quantum information theory, the idea of a typical subspace plays an important role in the proofs of many coding theorems (the most prominent example being Schumacher compression). Its role is analo...
Quantum cognition
Quantum cognition is an emerging field which applies the mathematical formalism of quantum theory to model cognitive phenomena such as information processing by the human brain, decision making, human...
Quantum spin model
A quantum spin model is a quantum Hamiltonian model that describes a system which consists of spins either interacting or not and are an active area of research in the fields of strongly correlated el...