Volume 122, Number 1, April 2018
|Number of page(s)||7|
|Published online||06 June 2018|
Quantum no-go theorems in causality respecting systems in the presence of closed timelike curves: Tweaking the Deutsch condition
1 Harish-Chandra Research Institute, HBNI - Chhatnag Road, Jhunsi, Allahabad 211 019, India
2 P.G. Department of Physics, Gaya College, Magadh University - Rampur, Gaya 823 001, India
3 Center for Security, Theory and Algorithmic Research, International Institute of Information Technology-Hyderabad - Gachibowli, Hyderabad, India
Received: 17 April 2018
Accepted: 16 May 2018
We consider causality respecting (CR) quantum systems interacting with closed timelike curves (CTCs), within the Deutsch model. We introduce the concepts of popping-up and elimination of quantum information and use them to show that no-cloning and no-deleting, which are true in CR quantum systems, are no more valid in the same that are interacting with CTCs. We also find limits on the possibility of creation of entanglement between a CR system and a CTC, and the same between two CR systems in the presence of a CTC. We prove that teleportation of quantum information, even in its approximate version, from a CR region to a CTC is disallowed. Interestingly, we find that tweaking the Deutsch model, by allowing the input and output not to be the same, leads to a nontrivial approximate teleportation beyond the classical limit.
PACS: 03.65.-w – Quantum mechanics / 03.67.-a – Quantum information / 03.67.Bg – Entanglement production and manipulation
© EPLA, 2018
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