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The 17 pages that link to Density matrix, each with the reason it gives.

• Quantum stateBroader topic: It handles uncertainty about preparation and subsystems of entangled systems.

• John von NeumannRelated: Density matrices provide the states on which von Neumann’s entropy is defined.

• Quantum entanglementRelated: Density matrices let entanglement be characterized even when a subsystem is mixed.

• Quantum decoherenceNarrower topic: It tracks coherence even when a system is entangled with degrees of freedom not observed.

• WavefunctionCompared with: It can represent states that a single wavefunction cannot describe as pure states.

• Black hole information paradoxRelated: Radiation can look thermal as a subsystem even when the complete state remains pure.

• Wave functionCompared with: It represents states more generally than a single wave function can.

• Hamiltonian (quantum mechanics)Related: Open-system dynamics often describe states with density matrices alongside effective Hamiltonians.

• Quantum coherenceRelated: Its off-diagonal elements encode coherence between basis states.

• Quantum information scienceBroader topic: It describes noisy or incomplete quantum information beyond pure state vectors.

• Probability amplitudeRelated: Its diagonal elements encode outcome probabilities, while off-diagonal elements retain coherence between amplitudes.

• Slater determinantCompared with: It can describe mixed states and reduced information that a pure determinant alone cannot.

• No-communication theoremNarrower topic: The theorem is expressed through local density matrices, not individual entangled-state descriptions.

• Lindblad equationNarrower topic: The equation governs how this representation changes over time.

• Bra–ket notationRelated: A pure-state density matrix is written |ψ⟩⟨ψ|.

• Hierarchical equations of motionNarrower topic: Hierarchy operators extend density-matrix descriptions to encode environmental memory.

• Mathematical formulation of quantum mechanicsBroader topic: Density matrices extend state representation beyond pure state vectors.