Fixed points of quantum operations
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 … 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 …
Fixed points of quantum operations
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WebJun 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... WebJul 21, 2024 · For (numerically) finding fixed points, you can start by solving the corresponding eigenvalue equation for the eigenvector ρ. If the fixed point is unique, …
WebNov 25, 2002 · ABSTRACT. Quantum operations frequently occur in quantum measurement theory, quantum probability, quantum computation, and quantum information theory. If an operator A is invariant under a quantum operation φ, we call A a φ-fixed point. Physically, the φ-fixed points are the operators that are not disturbed by … WebAug 22, 2024 · While both floating-point operations are more expensive than their fixed-point analog, the overhead is much more prominent for addition. This fact will have important consequences for our discussion about the practicality of floating-point representations in quantum computing, which we will present in Sect. 7.
WebJul 26, 2010 · Here a fixed-point duality quantum search algorithm is proposed. This algorithm uses iteratively non-unitary operations and measurements to search an unsorted database. Once the marked item is found, the algorithm stops automatically. WebNov 18, 2024 · Along with the increasing number of prefabricated buildings being constructed in China each year, the incident rate of hoisting operations has been continuously rising. In order to improve construction safety in hoisting operations of prefabricated buildings, this paper analyzes the construction workers’ unsafe …
WebThe standard quantum search algorithm lacks a feature, enjoyed by many classical algorithms, of having a fixed-point, i.e. a monotonic convergence towards the solution. Here we present two variations of the quantum search algorithm, which get around this limitation. The first replaces selective inversions in the algorithm by selective phase shifts of π3. …
WebFeb 1, 2024 · Characterizations of fixed points of quantum operations. Article. Full-text available. May 2011; Yuan Li; Let J be a general quantum operation. An operator B is said to be a fixed point of J, if J ... shutting off water and tank heaterthe panther group green bayWebFixed points results in modular vector spaces with application to quantum operations and Markov operators 279 is a vector subspace of Xwhich is usually known as the associated modular vector space. On it, the Luxemburg norm is define as kzk ˆ= inff >0 : ˆ z 1g; for any z2X ˆ. In the following definition, we give the necessary tools used ... the panther by demilleWebAug 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. shutting off water at the streetWebA 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 … shutting off water to house when on vacationWebNov 6, 2024 · Both objects (cycles and fixed points), however, display a kind of rigidity in the structure of the channel which can link different irreducible components of the evolution; this is a strongly quantum feature in the sense that it is something that cannot be observed in a purely classical context. shutting off water to houseWebApr 18, 2024 · FixedPoint: Represents a real number consisting of a qubit array qArr2 : Qubit [] and a binary point position pos, which counts the number of binary digits to the left of the binary point. qArr2 is stored in the same way as SignedLittleEndian. Operations For each of the three types above, a variety of operations is available: LittleEndian Addition shutting off water in a home