For questions regarding the complexity class MIP*, the quantum version of the MIP class.
Questions tagged [mip-star]
4 questions
9
votes
1 answer
Consequences of $MIP^\ast=RE$ Regarding Quantum Algorithms
The (pending-peer review) proof of $MIP^\ast=RE$ in this pre-print has been hailed as a significant breakthrough. The significance of this result is addressed by Henry Yuen (one of the authors) in this blog post. Scott Aaronson also lists some of…
Jonathan Trousdale
- 3,452
- 9
- 20
6
votes
1 answer
Is Connes' Embedding Problem akin to the word problem for finitely presented groups?
The complexity class $\mathrm{MIP^*}$ includes the set of languages that can be efficiently verified by a classical, polynomially-bounded verifier, engaging with two quantum provers that can share (potentially infinite) entanglement, but are…
Mark Spinelli
- 15,378
- 3
- 26
- 83
6
votes
0 answers
Consequences of MIP*=RE regarding quantum universality
Provided that $\mathsf{MIP}^*=\mathsf{RE}$ there can be Bell inequalities that have violations achievable only for infinite dimensional quantum systems (vide discussions in Post1 and Post2). Does this implies that this kind of behaviour, once found,…
R.W
- 2,468
- 7
- 25
1
vote
1 answer
Relationship between MIP*[$\log(n),O(1)$] and NP
MIP* is the multi-prover interactive proof system where provers can share arbitrary many entanglements. My question is what is the relationship between MIP*[$\log(n),O(1)$] and NP? MIP*[$\log(n),O(1)$] means the question length is $\log(n)$ and the…
qmww987
- 375
- 1
- 6