Fixed points of quantum operations
WebApr 10, 2024 · Our aim is to prove a general fixed point theorem for mappings satisfying the cyclical contractive condition, which extends several results from the literature. ... Banach, S. Sur les operations dans les ensembles abstraits et leur application aux equations integrales. Fund. Math. 1922, 3, 133–181. [Google Scholar] 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, …
Fixed points of quantum operations
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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... WebQuantum operations frequently occur in quantum measurement theory, quantum probability, quantum computation, and quantum information theory. If an operator A is …
WebMay 15, 2011 · The U.S. Department of Energy's Office of Scientific and Technical Information 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 …
WebApr 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 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)
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...
WebQuantum operations frequently occur in quantum measurement theory, quantum probability, quantum computation, and quantum information theory. If an operator A is invariant … how big is h and mWebApr 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... how big is hampshire ukWebMar 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 … how big is harry potter\u0027s wandWebNov 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 … how big is harvard\u0027s endowment fundWebFixed-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 ... how many orbs is urzan worthWebOct 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 ... how many orbitals in the first shellWebDefinition 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 . how big is harvards waitlist