What does it mean by having a quantum fidelity of 0.85?

In summary, quantum fidelity refers to the measurement of distance between quantum states. A fidelity of 0.85 indicates that the states are close, similar to how one wavefunction (A) may resemble another (B). This term is discussed in more detail in the paper on the arXiv with the link provided.
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touqra
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What does it mean by having a quantum fidelity of 0.85?
 
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The fidelity can be viewed as a meassurement of distance between quantum states. If the fidelity is close to one, the states are close.
 
  • #3
DavidK said:
The fidelity can be viewed as a meassurement of distance between quantum states. If the fidelity is close to one, the states are close.

I still don't understand. What do you mean by close? Do you mean like how near one wavefunction say, A to resemble another wavefunction, say B?
I stumbled on this paper on the arXiv: http://www.arxiv.org/abs/quant-ph/0406205
that's how I got to know this term.
 
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1. What is quantum fidelity?

Quantum fidelity is a measure of how closely a quantum state or process matches an ideal or desired state or process. It quantifies the similarity between two quantum states or processes.

2. How is quantum fidelity calculated?

Quantum fidelity is calculated by taking the inner product (or overlap) between two quantum states or processes and squaring the absolute value of this value. This result ranges from 0 to 1, with 1 representing perfect fidelity.

3. Why is a quantum fidelity of 0.85 significant?

A quantum fidelity of 0.85 is considered high in the context of quantum systems. It means that the two quantum states or processes being compared have a high degree of similarity, with only a 15% difference between them. This level of fidelity is important in applications such as quantum computing, where accuracy and precision are crucial.

4. How does quantum fidelity differ from classical fidelity?

Quantum fidelity differs from classical fidelity in that it takes into account the unique properties of quantum systems, such as superposition and entanglement. Classical fidelity only considers the similarity between two classical states or processes, while quantum fidelity takes into account the quantum nature of the system.

5. Can quantum fidelity be greater than 1?

No, quantum fidelity cannot be greater than 1. This is because a fidelity of 1 represents perfect similarity, and any value above 1 would imply a greater than perfect match, which is not possible. A fidelity of 1 is only achievable in ideal cases, as there will always be some level of imperfection or noise in real-world quantum systems.

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