Fixed points of quantum operations
WebApr 11, 2024 · In quantum computing, a quantum circuit consists of quantum gates. Let U j be the unitary operator of the j th gate. The circuit with N gates realises the transformation U = U N ⋯ U 2 U 1 . WebJan 12, 2013 · In particular, we also partially characterize the extreme points of the set of all (generalized) quantum operations and give some equivalent conditions for the correctable quantum channel. Let $\mathcal{B}(\mathcal{H})$ be the set of all bounded linear operators on the separable Hilbert space $\mathcal{H}$ .
Fixed points of quantum operations
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WebAug 1, 2012 · The fixed points of general quantum operations are considered. We characterize the set of fixed points of a general quantum operation and discuss … WebSome Generalised Fixed Point Theorems Applied to Quantum Operations 1. Introduction. The early research motivations in the area of fixed point theory were for solving problems …
WebNov 25, 2002 · Quantum operations frequently occur in quantum measurement theory, quantum probability, quantum computation, and quantum information theory. If an … WebMay 2, 2005 · In the new algorithm, the operations are controlled by two ancilla qubits, and fixed point behavior is achieved by irreversible measurement operations applied to these ancillas. It is an example of how measurement can allow us to bypass some restrictions imposed by unitarity on quantum computing. Comments: 12 pages, 4 figures.
WebDec 1, 2002 · Quantum operations frequently occur in quantum measurement theory, quantum probability, quantum computation, and quantum information theory. If an … WebAug 26, 2010 · Specifically, it is proved that if a quantum operation has mutually commuting operation elements that are effects forming a resolution of the identity, then the fixed …
WebA quantum operation is defined as ε ( ρ) = ∑ k M k ρ M k † where ε ( ρ) takes an initial state ρ to some final state ρ ′ and M k † M k 's are positive, contractive operators that satisfy ∑ k M k † M k = I. It is known through Schauder's fixed point theorem that this admits a …
WebMay 15, 2011 · The U.S. Department of Energy's Office of Scientific and Technical Information functions of nic cardWebOct 1, 2011 · Fixed points of dual quantum operations Authors: Yuan Li Shaanxi Normal University Request full-text Abstract Let phi (A) be a normal completely positive map on B (H) with Kraus operators... functions of newsroom pdfWebApr 29, 2024 · Furthermore, we show that every irreducible conformal subnet is the fixed points under a subset of quantum operations. When is discrete (or with finite Jones index), we show that the set of quantum operations on that leave elementwise fixed has naturally the structure of a compact (or finite) hypergroup, thus extending some results of … girl names meaning trickyWebOct 1, 2011 · In this note, the relations between the fixed points of ϕ A and ϕ A † are investigated. We obtain that { B ∈ K ( H ) : ϕ A ( B ) = B } = { B ∈ K ( H ) : ϕ A † ( B ) = B … girl names meaning willpowerWebFixed-Point Quantum Search. Grover, Lov K. The quantum search algorithm consists of an iterative sequence of selective inversions and diffusion type operations, as a result of which it is able to find a state with desired properties (target state) in an unsorted database of size N in only N queries. This is achieved by designing the iterative ... girl names meaning thornWebJun 15, 2024 · As a contribution from our part, we study some fixed point results in modular vector spaces associated with order relation. As an application, we were able to study the existence of fixed... girl names meaning wildWebAug 1, 2012 · The fixed points of general quantum operations are considered. We characterize the set of fixed points of a general quantum operation and discuss some equivalent and sufficient conditions for this set to be nontrivial. Moreover, we also consider completely disturbed points of quantum operations. girl names meaning warrior princess