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Fidelity of quantum states information


In quantum mechanics, notably in quantum information theory, fidelity is a measure of the "closeness" of two quantum states. It expresses the probability that one state will pass a test to identify as the other. The fidelity is not a metric on the space of density matrices, but it can be used to define the Bures metric on this space.

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Fidelity of quantum states

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In quantum mechanics, notably in quantum information theory, fidelity is a measure of the "closeness" of two quantum states. It expresses the probability...

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Quantinuum

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enables a high fidelity of quantum states. Quantinuum has developed middleware and software products that run on trapped-ion and other quantum computing platforms...

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Superconducting quantum computing

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efficient determination of fidelity of quantum states across an entire chip, and qubit and gate fidelity. Moreover, superconducting quantum computing devices...

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Quantum Circuits. 24 November 2023. Retrieved 27 Nov 2023. Pont, M.; Corrielli, G.; Fyrillas, A.; et, al. (2022-11-29). "High-fidelity generation of four-photon...

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Bhattacharyya distance

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Chernoff bound Rényi entropy F-divergence Fidelity of quantum states Dodge, Yadolah (2003). The Oxford Dictionary of Statistical Terms. Oxford University Press...

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Quantum cloning

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were derived on the fidelity of cloned quantum states. One of the applications of quantum cloning is to analyse the security of quantum key distribution...

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Quantum teleportation

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Teleportation as a quantum computation Quantum teleportation with atoms: quantum process tomography Entangled State Teleportation Fidelity of quantum teleportation...

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Quantum channel

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of how well a quantum channel preserves information is called channel fidelity, and it arises from fidelity of quantum states. A bistochastic quantum...

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Quantum error correction

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Quantum error correction (QEC) is used in quantum computing to protect quantum information from errors due to decoherence and other quantum noise. Quantum...

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Qubit

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In quantum computing, a qubit (/ˈkjuːbɪt/) or quantum bit is a basic unit of quantum information—the quantum version of the classic binary bit physically...

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quantum Fisher information is a central quantity in quantum metrology and is the quantum analogue of the classical Fisher information. It is one of the...

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Bures metric

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distance between density matrix operators defining quantum states. It is a quantum generalization of the Fisher information metric, and is identical to...

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Quantum memory

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information as binary states (represented by "1"s and "0"s), quantum memory stores a quantum state for later retrieval. These states hold useful computational...

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Quantum decoherence is the loss of quantum coherence. Quantum decoherence has been studied to understand how quantum systems convert to systems which can...

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I}[{\rm {tr}}(E\rho )-{\rm {tr}}(E\sigma )].} Similarly, the fidelity of two quantum states, defined by F ( ρ , σ ) = ( Tr ⁡ ρ σ ρ ) 2 , {\displaystyle...

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Richard Jozsa

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Chair in Quantum Physics at the University of Cambridge. He is a fellow of King's College, Cambridge, where his research investigates quantum information...

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methods of machine learning to the study of quantum systems is the focus of an emergent area of physics research. A basic example of this is quantum state...

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from those of larger particles via quantum mechanical effects. They are a central topic in nanotechnology and materials science. When a quantum dot is illuminated...

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In gate-based quantum computing, various sets of quantum logic gates are commonly used to express quantum operations. The following tables list several...

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Graph state

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it is important to verify that indeed, an entangled quantum state has been created. The fidelity with respect to a N {\displaystyle N} -qubit graph state...

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Butterfly effect

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identical initial states diverge when subjected to slightly different dynamics". They consider fidelity decay to be "the closest quantum analog to the (purely...

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List of proposed quantum registers

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Dmytro; Wang, Lei; Babikov, Dmitri (2012). "High fidelity quantum gates with vibrational qubits". Journal of Chemical Physics. 116 (46): 11347–11354. Bibcode:2012JPCA...

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Quantum neural networks are computational neural network models which are based on the principles of quantum mechanics. The first ideas on quantum neural...

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In quantum computing, quantum supremacy or quantum advantage is the goal of demonstrating that a programmable quantum computer can solve a problem that...

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