Fixed points of quantum operations
WebMay 15, 2011 · The U.S. Department of Energy's Office of Scientific and Technical Information WebNov 15, 2016 · Title: On Propagation of Fixed Points of Quantum Operations and Beyond. Authors: Aurelian Gheondea. Download PDF ... of quantum operations, and of …
Fixed points of quantum operations
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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. 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 …
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. … 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 …
WebQuantum operations frequently occur in quantum measurement theory, quantum probability, quantum computation, and quantum information theory. If an operator A is invariant … 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.
WebDefinition 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 .
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 … fishing shop singaporeWebJul 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. fishing shops in changi villageWebApr 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... fishing shops in baliWebApr 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 … cancelling long term care insuranceWebJan 8, 2011 · We show that under some conditions, the fixed points sets of this class of quantum operations are trivial. Finally, we offer a sufficient and necessary condition in a special setting to ensure the fixed points sets are non-trivial. Download to read the full article text References Kraus, K.: States, Effects, and Operations. Springer, Berlin (1983) cancelling mail uspsWebNov 14, 2024 · Composition of Quantum Operations and Their Fixed Points 1 Introduction. Researchers have been utilizing the quantum theory in their field of expertise. Fixed … fishing shops herne bayWebJun 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... fishing shops in harare