# Index [[Bell states]] [Bloch spheres](Bloch%20spheres.md) [Bloch vectors](Bloch%20vector) [density matrix](density%20matrix.md) [[Entangled qubits]] [Entanglement](Entanglement) [[Entanglement entropy]] [[entanglement spectrum]] [[Gate based quantum computing]] [[GHZ state]] [[Maximal entanglement]] [[Measurement based quantum computing]] [[measurement operator]] [[Mixed state qubits]] [Neumark's theorem](Neumark's%20theorem) [[No-cloning theorem]] [Non-locality in quantum mechanics](Non-locality%20in%20quantum%20mechanics) [[Partial entanglement]] [[POVM]] [[Quantum computing]] [[Quantum error correction]] [Quantum gates](Quantum%20gates.md) [Quantum state purity](Quantum%20state%20purity.md) [Qubits](Qubits.md) [[Qudits]] [[Qutrits]] [[Reduced density matrices]] [[Schmidt decomposition]] [[Schrödinger–HJW theorem]] [[State vector]] --- # Proofs [[Proof of the no-cloning theorem]] [[Proof that a two-level state is pure if and only if its Bloch vector has a length of 1]] --- # Basic Concepts ## Encoding units of quantum information ## Superposition ### Entanglement --- # Bibliography [Nielsen, M. A., Chuang, I. L. _Quantum Computation and Quantum Information_, Cambridge University Press, 2010](Nielsen,%20M.%20A.,%20Chuang,%20I.%20L.%20Quantum%20Computation%20and%20Quantum%20Information,%20Cambridge%20University%20Press,%202010.md) [Peres, A., _Quantum Theory Concepts and Methods_, Kluwer Academic Publishers, 2002](Peres,%20A.,%20Quantum%20Theory%20Concepts%20and%20Methods,%20Kluwer%20Academic%20Publishers,%202002.md) [Steck, D. A., _Quantum and Atom Optics_, 2007 (last revised in September 2021)](Steck,%20D.%20A.,Quantum%20and%20Atom%20Optics,%202007%20(last%20revised%20September%202021).md) Preskill J. _Lecture Notes for Physics 229: Quantum Information and Computation_ (1998) ![](Preskill-Quantum%20Information%20notes.pdf) #QuantumMechanics/QuantumInformation #QuantumMechanics/QuantumInformation/Entanglement #QuantumMechanics/QuantumInformation/QuantumComputation #QuantumMechanics/QuantumInformation/QuantumComputation/QuantumErrorCorrection #QuantumMechanics/MathematicalFoundations/QuantumInformation #QuantumMechanics/QuantumMeasurement #index #Bibliography