Movatterモバイル変換

[0]ホーム
URL:

Sorry, we no longer support your browser
Please upgrade toMicrosoft Edge,Google Chrome, orFirefox. Learn more about ourbrowser support.
Skip to main content

Stack Exchange Network

Stack Exchange network consists of 183 Q&A communities includingStack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange
Loading…
Quantum Computing

Questions tagged [metrics]

Ask Question

A metric is a generalization of the concept of "distance" in the Euclidean sense. Metric spaces are sets on which a metric is defined, and arise as a special case of the more general notion of a topological space.

8 questions
Filter by
Sorted by
Tagged with
2votes
1answer
101views

It is well known that the Bures distance between two infinitesimally close density matrices induces the Bures metric. Likewise the quantum Fisher information metric is related to the infinitesimal ...
1vote
0answers
75views

I am looking for an example of a metric/distance function $D(\rho,\sigma)$ which is Schur-concave apart from fidelity. In particular I am interested in the relation$D(\rho, \sum_i p_i \sigma_i) \leq_{...
Ghost-of-PPPF's user avatar
4votes
1answer
281views

As mentioned e.g. in the Wikipedia page, given a pair of pure states $\psi,\phi\in\mathbb{CP}^{N-1}$, the geodesic distance between them is$$\gamma(\psi,\phi) = \arccos\sqrt{\frac{\langle\psi|\phi\...
1vote
1answer
157views

In this paper, the authors assert that the Bures metric satisfies a contractive property and has unitary invariance. These terms aren't defined or proved in the paper, nor is any reference given for a ...
6votes
1answer
1kviews

The Wikipedia page discussing the Bures metric introduces it as the Hermitian 1-form operator $G$ defined implicitly by $\rho G+G\rho = \mathrm d\rho$, and which induces the corresponding Bures ...
glS's user avatar
  • 27.8k
11votes
2answers
2kviews

In the context of Bures metric and quantum Fisher information, an important object is the symmetric logarithmic derivative (SLD). This is usually introduced as a way to express the derivative of a ...
4votes
2answers
597views

There are a few people who ask how to calculate IBM's "quantum volume", but it's not clear what the actual mathematical definition of this is. In the answers here, people just point to ...
12votes
0answers
269views

For two-qubit states, represented by a $4\times 4$ density matrix, the generic state is described by 15 real parameters. For ease of calculation, it can help to consider restricted families of states, ...

Hot Network Questions

more hot questions
Newest metrics questions feed
[8]ページ先頭
©2009-2025 Movatter.jp