A Cryptography Inspired Model for Non-local Correlations: Decrypting the
Enigmas
- URL: http://arxiv.org/abs/2307.03395v1
- Date: Fri, 7 Jul 2023 05:35:04 GMT
- Title: A Cryptography Inspired Model for Non-local Correlations: Decrypting the
Enigmas
- Authors: Govind Lal Sidhardh and Manik Banik
- Abstract summary: We propose a cryptography-inspired model for nonlocal correlations.
We model nonlocal boxes as realistic systems with instantaneous signalling at the hidden variable level.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We propose a cryptography-inspired model for nonlocal correlations. Following
the celebrated De Broglie-Bohm theory, we model nonlocal boxes as realistic
systems with instantaneous signalling at the hidden variable level. By
introducing randomness in the distribution of the hidden variable, the
superluminal signalling model is made compatible with the operational
no-signalling condition. As the design mimics the famous symmetric key
encryption system called {\it One Time Pads} (OTP), we call this the OTP model
for nonlocal boxes. We demonstrate utility of this model in several esoteric
examples related to the nonclassicality of nonlocal boxes. In particular, the
breakdown of communication complexity using nonlocal boxes can be better
understood in this framework. Furthermore, we discuss the Van Dam protocol and
show its connection to homomorphic encryption in cryptography. We also discuss
possible ways of encapsulating quantum realizable nonlocal correlations within
this framework and show that the principle of Information Causality imposes
further constraints at the hidden variable level. Present work thus
orchestrates the results in classical cryptography to improve our understanding
of nonlocal correlations and welcomes further research to this connection.
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