Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Chang, Lay Nam"'
We map Spekkens' toy model to a quantum mechanics defined over the finite field $\mathbb{F}_5$. This allows us to define arbitrary linear combinations of the epistemic states in the model. For Spekkens' elementary system with only $2^2=4$ ontic state
Externí odkaz:
http://arxiv.org/abs/1903.06337
We discuss the generic phenomenology of quantum gravity and, in particular, argue that the observable effects of quantum gravity, associated with new, extended, non-local, non-particle-like quanta, and accompanied by a dynamical energy-momentum space
Externí odkaz:
http://arxiv.org/abs/1605.04361
Publikováno v:
Int. J. Mod. Phys. A 31, 1630012 (2016)
In this note we discuss the question of gauge invariance in the presence of a minimal length. This contribution is prepared for the celebration of the 60th anniversary of the Yang-Mills theory.
Comment: 23 pages, 2 figures, uses ws-procs975x65.c
Comment: 23 pages, 2 figures, uses ws-procs975x65.c
Externí odkaz:
http://arxiv.org/abs/1602.07752
Publikováno v:
J. Phys. A: Math. Theor. 47 (2014) 405304
We argue that the q=1 limit of Galois Field Quantum Mechanics, which was constructed on a vector space over the Galois Field F_q=GF(q), corresponds to its `classical limit,' where superposition of states is disallowed. The limit preserves the project
Externí odkaz:
http://arxiv.org/abs/1312.4191
Publikováno v:
Int. J. Mod. Phys. A 29 (2014) 1430006
In this talk we describe our recent work on discrete quantum theory based on Galois fields. In particular, we discuss how discrete quantum theory sheds new light on the foundations of quantum theory and we review an explicit model of super-quantum co
Externí odkaz:
http://arxiv.org/abs/1312.0645
Publikováno v:
Int. J. Mod. Phys. D 22, 1342025 (2013)
We argue that quantum gravity should be a super-quantum theory, that is, a theory whose non-local correlations are stronger than those of canonical quantum theory. As a super-quantum theory, quantum gravity should display distinct experimentally obse
Externí odkaz:
http://arxiv.org/abs/1305.3313
We construct a `mutant' form of quantum mechanics on a vector space over the finite Galois field GF(q). We find that the correlations in our model do not violate the Clauser-Horne-Shimony-Holt (CHSH) version of Bell's inequality, despite the fact tha
Externí odkaz:
http://arxiv.org/abs/1208.5544
Publikováno v:
2013 J. Phys. A: Math. Theor. 46 485306
We propose mutant versions of quantum mechanics constructed on vector spaces over the finite Galois fields GF(3) and GF(9). The mutation we consider here is distinct from what we proposed in previous papers on Galois field quantum mechanics. In this
Externí odkaz:
http://arxiv.org/abs/1208.5189
Publikováno v:
J. Phys. A: Math. Theor. 46 (2013) 065304
We discuss the properties of Galois Field Quantum Mechanics constructed on a vector space over the finite Galois field GF(q). In particular, we look at 2-level systems analogous to spin, and discuss how SO(3) rotations could be embodied in such a sys
Externí odkaz:
http://arxiv.org/abs/1206.0064
Publikováno v:
Modern Physics Letters B 27 (2013) 1350064
We construct a discrete quantum mechanics using a vector space over the Galois field GF(q). We find that the correlations in our model do not violate the Clauser-Horne-Shimony-Holt (CHSH) version of Bell's inequality, despite the fact that the predic
Externí odkaz:
http://arxiv.org/abs/1205.4800