Fixed points of quantum operations

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August undefined, 2024

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 ...

Fixed points of dual quantum operations - ScienceDirect

WebMay 1, 2011 · Let J be a general quantum operation. An operator B is said to be a fixed point of J, if J (B)=B. In this note, we shall show conditions under which B, a fixed point J, implies that B is... WebApr 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 … trurendi and madison

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WebMay 5, 2011 · Let φ A be a general quantum operation. An operator B is said to be a fixed point of φ A, if φ A (B) = B. In this note, we shall show conditions under which B, a 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, … WebMay 5, 2011 · An operator B is said to be a fixed point of φA, if φA(B)=B. In this note, we shall show conditions under which B, a fixed point φA, implies that B is compati... Characterizations of fixed points of quantum operations: Journal of Mathematical Physics: Vol 52, No 5 tru register for classes

Quantum algorithms with fixed points: - arXiv Vanity

Characterizations of fixed points of quantum operations

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. 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 some equivalent and sufficient conditions for this set to be nontrivial. Moreover, we also consider completely disturbed points of quantum operations. trurewards bannerWebNov 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. tru renew carpet cleaning

"WebDec 1, 2002 · Quantum operations frequently occur in quantum measurement theory, quantum probability, quantum computation, and quantum information theory. If an … " - Fixed points of quantum operations

Fixed points of quantum operations

Composition of Quantum Operations and Their Fixed Points

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... WebApr 1, 2011 · In this paper, we study the fixed points sets of a class of general quantum operations. We show that under some conditions, the fixed points sets of this class of quantum operations...

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WebNov 15, 2016 · Title: On Propagation of Fixed Points of Quantum Operations and Beyond. Authors: Aurelian Gheondea. Download PDF ... of quantum operations, and of … WebApr 12, 2024 · In the current chip quality detection industry, detecting missing pins in chips is a critical task, but current methods often rely on inefficient manual screening or machine vision algorithms deployed in power-hungry computers that can only identify one chip at a time. To address this issue, we propose a fast and low-power multi-object detection …

WebQuantum operations frequently occur in quantum measurement theory, quantum probability, quantum computation, and quantum information theory. If an operator A is … WebQuantum operations frequently occur in quantum measurement theory, quantum probability, quantum computation, and quantum information theory. If an operator A is invariant …

WebFixed points results in modular vector spaces with applications to quantum operations and Markov operators MOHAMED AMINE KHAMSI, POOM KUMAM and UMAR … 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 …

WebMar 27, 2024 · The joint research group is comprised of: Dr. Yasunobu Nakamura, Director of the RIKEN Center for Quantum Computing (RQC), Dr. Katsuya Kikuchi, Group Leader of the 3D Integration System Group of the Device Technology Research Institute at AIST, Dr. Hirotaka Terai, Director of the Superconductive ICT Device Laboratory at the Kobe …

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. … philippines to thailand mapWebMay 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. trurehab lake havasu city azWebDefinition 2. A labelled quantum Markov chain (LQMC) is a tuple where is a QMC and. AP. is a finite set of atomic propositions and. L : S → 2 AP. is a labelling function. The notions of paths, measures, etc. given above extend in the natural way to LQMCs; for the labelling from states to paths, we set . philippines to thailand flightWebSome 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 … philippines to singapore flight timeWebMay 1, 2011 · Let J be a general quantum operation. An operator B is said to be a fixed point of J, if J (B)=B. In this note, we shall show conditions under which B, a fixed point … truret testing procedureWebMar 24, 2024 · Starting March 27, 2024, the partners will provide the newly developed technology to users in Japan as a cloud service for non-commercial use under a joint research agreement with RIKEN. The new technology represents a significant step toward the wider use of quantum computing in Japan. philippines to thailand flight timeWebQuantum operations frequently occur in quantum measurement theory, quantum probability, quantum computation, and quantum information theory. If an operator A is … trurewards banner bank