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...ally [[quantum information processing]], the '''entropy exchange''' of a [[quantum operation]] <math>\phi \,</math> acting on the [[density matrix]] <math>\rh ...tropy]] of the system <math>Q \,</math> and a fictitious [[Purification of quantum state|purifying]] auxiliary system <math>R \,</math> after they are operate ...

...ing information using an amount of entanglement given by the [[conditional quantum entropy]], <math>H(A|B)\,=\,H(AB)-H(B) \, .</math> with <math>H(A)</math> t ...this amount of entanglement can be gained, rather than used. Thus quantum information can be negative. ...

...ally in the state <math>\rho_{SE} (0) \,</math> (which in general may be [[quantum entanglement|entangled]]) and undergoing unitary evolution given by <math>U ...completely positive]], then the reduced dynamics can be represented by a [[quantum operation]]. This mean we can express it in the operator-sum form ...

...al [[No-signaling principle|non-signaling]] resource, such as an entangled quantum state. ...| last3=Gross | first3=David | title=Information-Theoretic Implications of Quantum Causal Structures | journal=Nature Communications | volume=6 | issue=1 | ye ...

...'gnu'' code''' refers to a particular family of [[quantum error correction|quantum error correcting codes]], with the special property of being invariant unde ...st=Ouyang | first=Yingkai | title=Permutation-invariant quantum coding for quantum deletion channels | date=2021-02-04 | class=quant-ph | eprint=2102.02494v1 ...

{{Short description|Class of quantum error correcting codes}} In [[quantum error correction]], '''CSS codes''', named after their inventors, [[Robert ...

...le:Qcircuit measurement-commute.svg|thumb|Two equivalent [[quantum circuit|quantum logic circuits]]. One where measurement happens first, and one where an ope ...portation#Alternative_notations|teleportation circuit]]. The 2-[[qubit]] [[quantum state|state]]s <math>|\Phi^{+}\rangle</math> and <math>|\beta_{00}\rangle</ ...

...t|title=Quantum Lower Bound for Recursive Fourier Sampling|journal=Quantum Information and Computation |volume=3|issue=2|pages=165–174|year=2002|doi=10.26421/QIC3 ...l A. |last2=Chuang |first2=Isaac L. |title=Quantum computation and quantum information |date=2010 |publisher=Cambridge University Press |location=Cambridge |isbn= ...

{{Short description|Concept in quantum information science}} ...|last1=Chitambar|first1=Eric|last2=Gour|first2=Gilad|date=2019-04-04|title=Quantum resource theories|journal=[[Reviews of Modern Physics]]|volume=91|issue=2|p ...

...ional lattice with nearest-neighbor interactions can realize an autonomous quantum computer| journal=Physical Review A| volume=75| issue=1| pages= 012307|arxi Hamiltonian quantum computation was the pioneering model of quantum computation, first proposed by [[Paul Benioff]] in 1980. ...

...omputer|quantum]] benchmarking protocol which can be used to demonstrate [[quantum supremacy]].<ref>{{Cite journal |title = Characterizing Quantum Supremacy in Near-Term Devices ...

...ish|date=January 2019}}{{Short description|Foundational theorem of quantum information processing}} ...tle=Common Origin of No-Cloning and No-Deleting Principles Conservation of Information |url=https://doi.org/10.1007/s10701-005-8661-4 |journal=Foundations of Phys ...

...bound]]. It bounds the achievable precision in parameter estimation with a quantum system: ...|authorlink2=Carlton Caves |title=Statistical distance and the geometry of quantum states | journal=Physical Review Letters | publisher=American Physical Soci ...

{{Short description|Quantum states of two qubits}} {{Quantum mechanics}} ...

...0307|s2cid=221103573 }}</ref> Classical shadow is useful for [[Fidelity of quantum states|direct fidelity estimation]], entanglement verification, estimating ...learn to solve [[ground state]]s of quantum many-body systems and classify quantum [[State of matter|phases of matter]]. ...

{{Short description|Theorem pertaining to the ontology of quantum mechanics}} ...has particular significance for how one may interpret the nature of the [[quantum state]]. ...

...quantity in [[quantum metrology]], and is related to the [[quantum Fisher information]]. ...authorlink2=Carlton Caves |title=Statistical distance and the geometry of quantum states | journal=[[Physical Review Letters]] | publisher=American Physical ...

...g]], the '''Brassard–Høyer–Tapp algorithm''' or '''BHT algorithm''' is a [[quantum algorithm]] that solves the [[collision problem]]. In this problem, one is |title=Polynomial Degree and Lower Bounds in Quantum Complexity: Collision and Element Distinctness with Small Range ...

{{Short description|Quantum Information Science}} ...t3=Daniel |last4=Preskill |first4=John |date=2015-06-23 |title=Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence |ur ...

...umond |first2= Raphael C. |author3= Marcelo Terra Cunha |year=2015}}</ref> Quantum catalytic behaviour has been shown to arise from the phenomenon of catalyti ...ibcode=2021PhRvL.127o0503K |s2cid=237532098 }}</ref> Others have shown how quantum catalytic behaviour arises under a probabilistic approach via [[stochastic ...