Fixed points of quantum operations

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August undefined, 2024

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 …

Fixed points of quantum operations - NASA/ADS

WebAug 22, 2024 · Quantum circuit for fixed-point oblivious quantum amplitude-amplification. It is an iteration circuit based on the LCU operator. After each iteration, measurement is performed on the ancillary ... 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. irs company dissolution

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WebJan 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) 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 … 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 … portable solar water heater camping

Fixed points of quantum operations - AIP Publishing

An N /4 fixed-point duality quantum search algorithm - Springer

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 . WebFixed-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 ... portable solar wind generatorWebApr 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 … irs company ein lookup

"WebIn 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. " - Fixed points of quantum operations

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.

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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 … WebOct 3, 2005 · Abstract. 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 transformations in a way that ...

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... WebOct 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...

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 … 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 .

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 …

WebFixed points results in modular vector spaces with applications to quantum operations and Markov operators MOHAMED AMINE KHAMSI, POOM KUMAM and UMAR … portable solar water heater indiaWebFixed 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 ... irs company einWebMay 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 irs company ein searchWebMay 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... portable sound bar 50wWebNov 25, 2002 · Quantum operations frequently occur in quantum measurement theory, quantum probability, quantum computation, and quantum information theory. If an … portable sonar depth finderWebJul 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. portable solar shower bagWebApr 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... portable sony radio