Geometric phases in quantum information
WebarXiv.org e-Print archive WebNov 17, 2008 · Geometric quantum computation employs one-dimensional geometric phase factors instead of multidimensional holonomies to achieve universal sets of quantum gates. There are three different ways to …
Geometric phases in quantum information
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WebApr 11, 2024 · Geometric phases associated with weak value amplification in the 2D Bloch sphere. The gray region is a lune in the 2D Bloch sphere with the dihedral angle θ ; so it has area 2 θ . This region is subtended by the state transition ψ i 〉 → 0 〉 → ψ f 〉 → ψ i 〉 which creates a geometric phase factor exp ( − i θ ) . WebDec 21, 2007 · Quantum logic gates based on geometric phases have been demonstrated in both nuclear magnetic resonance and ion trap–based quantum information architectures . Superconducting circuits ( 7 , 8 ) …
WebJun 30, 2024 · The Geometric Phase. Quantum Mechanics and Information Science. Section II: Topological Phases of Matter. Symmetry and Topology in Condensed Matter Physics. Topological Insulators and Superconductors . Interacting Topological Phases. Section III: Topological Quantum States: Design and Engineering. WebJan 21, 2024 · Abstract. Geometric phases, accumulated when a quantum system traces a cycle in quantum state space, do not depend on the parametrization of the cyclic path, but do depend on the path itself. In the presence of noise that deforms the path, the phase gets affected, compromising the robustness of possible applications, e.g. in quantum …
WebMar 16, 2015 · Here, we review this development by focusing on three main themes: the use of GPs to perform robust quantum computation, the development of GP concepts for … WebQuantum information geometry is a recent approach to describing quantum information properties using geometry. If we consider pure states, one of the most used geometric measures is the quantum geometric tensor (QGT) introduced by Provost and Vallee in [].The real part of this tensor has been used to predict quantum phase transitions …
WebOct 26, 2024 · Geometric phase gates are promising tools toward robust quantum computing owing to their robustness against certain control errors and decoherence. Here, we propose a multiqubit architecture with a nonadiabatic geometric phase gate scheme that is feasible in widely used superconducting qubit designs such as transmon and …
Webtions of the geometric phase (GP), as well as triggered new insights into its physical, mathematical, and conceptual nature. Here, we review this development by focusing on … in the snow bookWebGeometric Phases in Quantum Information Erik Sjoqvist€ The rise of quantum information science has opened up a new venue for applications of the geometric phase (GP), … new ireland peopleWebOct 19, 2024 · Geometric phases are used to construct quantum gates since it naturally resists local noises, acting as the modularized units of geometric quantum computing. Meanwhile, fast nonadiabatic geometric gates are required for reducing the information loss induced by decoherence. Here, we propose a digital simulation of nonadiabatic … in the snow red hot chili peppers lyricsWebConical intersections (CIs) are diabolical points in the potential energy surfaces generally caused by point-wise degeneracy of different electronic states, and give rise to the geometric phases (GPs) of molecular wave functions. Here we theoretically propose and demonstrate that the transient redistribution of ultrafast electronic coherence in … in the snowy weather we don’t go to schoolWebMay 30, 2015 · We have reviewed the role of GP ideas in quantum information science. We have described how GPs can be used to perform robust quantum information … new ireland png mapWebOct 2, 2024 · Although geometric phases in quantum evolution are historically overlooked, their active control now stimulates strategies for constructing robust quantum technologies. Here, we demonstrate arbitrary single-qubit holonomic gates from a single cycle of nonadiabatic evolution, eliminating the need to concatenate two separate cycles. Our … new ireland passive irisWebTwo geometric phases of mixed quantum states, known as the interferometric phase and Uhlmann phase, are generalizations of the Berry phase of pure states. After reviewing the two geometric phases and examining their parallel-transport conditions, we specify a class of cyclic processes that are compatible with both conditions and therefore ... new ireland province logo