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Fidelity is symmetric in its arguments, i.e. F (ρ,σ) = F (σ,ρ). Note that this is not obvious from the original definition. F (ρ,σ) lies in [0,1], by the Cauchy–Schwarz inequality. F (ρ,σ) = 1 if and only if ρ = σ, since Ψ ρ = Ψ σ implies ρ = σ. So we can see that fidelity behaves almost like a metric.
96.5 (2 qubits) 156 November 2024 IBM IBM Armonk [21] Superconducting: Single Qubit N/A 1 October 16, 2019: IBM IBM Ourense [21] Superconducting: T N/A 5 July 3, 2019: IBM IBM Vigo [21] Superconducting: T N/A 5 July 3, 2019: IBM IBM London [21] Superconducting: T N/A 5 September 13, 2019: IBM IBM Burlington [21] Superconducting: T N/A 5 ...
As the name implies, the machine produces two identical copies of a single input qubit with a fidelity of 5/6 when comparing only one output qubit, and global fidelity of 2/3 when comparing both qubits. This idea was expanded to more general cases such as an arbitrary number of inputs and copies, [11] as well as d-dimensional systems. [12]
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We will assume for the moment that all state spaces of the systems considered, classical or quantum, are finite-dimensional. The memoryless in the section title carries the same meaning as in classical information theory: the output of a channel at a given time depends only upon the corresponding input and not any previous ones.
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Down on the farm, White could be the next big thing on the Marlins starting staff. The lefty received the 15th-largest signing bonus ($4.1M) as the 35th pick in the 2023 draft, and he quickly ...
High-fidelity data (HiFi) includes data that was produced by a person or Stochastic Process that closely matches the operational context of interest. For example, in wing design optimization, high-fidelity data uses physical models in simulation that produce results that closely match the wing in a similar real-world setting. [5]