Published October 12, 2018
| Version v1
Journal article
The modified trace distance of coherence is constant on most pure states
- 1. Department of Mathematics and Computer Science, Mount Allison University, Sackville, NB, E4L 1E4 (Canada)
- 2. Department of Mathematics, College of William and Mary, Williamsburg, VA, 23187 (United States)
- 3. Department of Mathematics and Statistics, University of Guelph, Guelph, ON, N1G 2W1 (Canada)
Description
Recently, the much-used trace distance of coherence was shown to not be a proper measure of coherence, so a modification of it was proposed. We derive an explicit formula for this modified trace distance of coherence on pure states. Our formula shows that, despite satisfying the axioms of proper coherence measures, it is likely not a good measure to use, since it is maximal (equal to 1) on all except for an exponentially-small (in the dimension of the space) fraction of pure states. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8121/aaa275Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 51
- Journal Issue
- 41
- Journal Page Range
- [11 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 52026255
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DISTANCE; PURE STATES; QUANTUM ENTANGLEMENT; SIMULATION
- Descriptors DEC
- QUANTUM STATES