×
Well done. You've clicked the tower. This would actually achieve something if you had logged in first. Use the key for that. The name takes you home. This is where all the applicables sit. And you can't apply any changes to my site unless you are logged in.

Our policy is best summarized as "we don't care about _you_, we care about _them_", no emails, so no forgetting your password. You have no rights. It's like you don't even exist. If you publish material, I reserve the right to remove it, or use it myself.

Don't impersonate. Don't name someone involuntarily. You can lose everything if you cross the line, and no, I won't cancel your automatic payments first, so you'll have to do it the hard way. See how serious this sounds? That's how serious you're meant to take these.

×
Register


Required. 150 characters or fewer. Letters, digits and @/./+/-/_ only.
  • Your password can’t be too similar to your other personal information.
  • Your password must contain at least 8 characters.
  • Your password can’t be a commonly used password.
  • Your password can’t be entirely numeric.
Enter the same password as before, for verification.
Login

Grow A Dic
Define A Word
Make Space
Set Task
Mark Post
Apply Votestyle
Create Votes
(From: saved spaces)
Exclude Votes
Apply Dic
Exclude Dic

Constant-sized self-tests for maximally entangled states and single projective measurements. (arXiv:2306.13498v1 [quant-ph])

Click here to flash read.

Self-testing is a powerful certification of quantum systems relying on
measured, classical statistics. This paper considers self-testing in bipartite
Bell scenarios with small number of inputs and outputs, but with quantum states
and measurements of arbitrarily large dimension. The contributions are twofold.
Firstly, it is shown that every maximally entangled state can be self-tested
with four binary measurements per party. This result extends the earlier work
of Man\v{c}inska-Prakash-Schafhauser (2021), which applies to maximally
entangled states of odd dimensions only. Secondly, it is shown that every
single binary projective measurement can be self-tested with five binary
measurements per party. A similar statement holds for self-testing of
projective measurements with more than two outputs. These results are enabled
by the representation theory of quadruples of projections that add to a scalar
multiple of the identity. Structure of irreducible representations, analysis of
their spectral features and post-hoc self-testing are the primary methods for
constructing the new self-tests with small number of inputs and outputs.

Click here to read this post out
ID: 225126; Unique Viewers: 0
Unique Voters: 0
Total Votes: 0
Votes:
Latest Change: June 26, 2023, 7:33 a.m. Changes:
/u/anonymous
Dictionaries:
Words:
Spaces:
Views: 9
CC:
No creative common's license
Comments: