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The `no communication' theorem prohibits superluminal communication by showing that any measurement by Alice on an entangled system cannot change the reduced density matrix of Bob's state, and hence the expectation value of any measurement…

Quantum Physics · Physics 2022-09-19 Amitava Datta

We consider the scenario wherein Alice wants to (potentially) communicate to the intended receiver Bob over a network consisting of multiple parallel links in the presence of a passive eavesdropper Willie, who observes an unknown subset of…

Information Theory · Computer Science 2014-01-30 Swanand Kadhe , Sidharth Jaggi , Mayank Bakshi , Alex Sprintson

This study critically reevaluates the Harlow-Hayden (HH) solution to the black hole information paradox and its articulation in the firewall paradox. The exploration recognizes the HH solution as a revolutionary approach in black hole…

General Relativity and Quantum Cosmology · Physics 2023-09-19 Galina Weinstein

With the idea of an eventual classification of 3-bridge links,\ we define a very nice class of 3-balls (called butterflies) with faces identified by pairs, such that the identification space is $S^{3},$ and the image of a prefered set of…

Algebraic Topology · Mathematics 2012-03-12 H. M. Hilden , J. M. Montesinos , D. M. Tejada , M. M. Toro

Recently, the quantum brachistochrone problem is discussed in the literature by using non-Hermitian Hamilton operators of different type. Here, it is demonstrated that the passage time is tunable in realistic open quantum systems due to the…

Quantum Physics · Physics 2009-11-13 Ingrid Rotter

In wireless ad hoc networks, the absence of any control on packets forwarding, make these networks vulnerable by various deny of service attacks (DoS). A node, in wireless ad hoc network, counts always on intermediate nodes to send these…

Cryptography and Security · Computer Science 2010-02-09 Abderrahmane Baadache , Ali Belmehdi

We find that the time dependence of holographic complexity is controlled by the Rindler boost symmetry across the horizon. By studying the collision energy experienced by an infalling object, we see the breaking of this boost symmetry is…

High Energy Physics - Theory · Physics 2018-10-17 Ying Zhao

A promising strategy for better understanding space and time at the Planck scale, is outlined and further pursued. It is explained in detail, how black hole unitarity demands the existence of transformations that can remove firewalls. This…

General Relativity and Quantum Cosmology · Physics 2017-09-12 Gerard t Hooft

In this paper we study interactive "one-shot" analogues of the classical Slepian-Wolf theorem. Alice receives a value of a random variable $X$, Bob receives a value of another random variable $Y$ that is jointly distributed with $X$.…

Computational Complexity · Computer Science 2015-09-09 Alexander Kozachinskiy

In this paper, we study covert communication in wireless networks consisting of a transmitter, Alice, an intended receiver, Bob, a warden, Willie, and a Poisson field of interferers. Bob and Willie are subject to uncertain shot noise due to…

Information Theory · Computer Science 2018-06-20 Biao He , Shihao Yan , Xiangyun Zhou , Hamid Jafarkhani

The concept of transparent and opaque horizons is defined. One example of opaqueness is the presence of a firewall. Two apparently contradictory statements are reconciled: The overwhelming number of black hole states have opaque horizons;…

High Energy Physics - Theory · Physics 2016-12-21 Leonard Susskind

Expander graphs are widely used in communication problems and construction of error correcting codes. In such graphs, information gets through very quickly. Typically, it is not true for social or biological networks, though we may find a…

Combinatorics · Mathematics 2011-03-04 Marianna Bolla

Black hole complementarity requires that the interior of a black hole be represented by the same degrees of freedom that describe its exterior. Entanglement plays a crucial role in the reconstruction of the interior degrees of freedom. This…

High Energy Physics - Theory · Physics 2012-10-09 Leonard Susskind

It is generally admitted that gravitational interactions become large at an invariant distance of order $1$ from the black hole horizon. We show that due to the ``atmosphere'' of high angular particles near the horizon strong gravitational…

High Energy Physics - Theory · Physics 2009-10-30 A. Casher , F. Englert , N. Itzhaki , S. Massar , R. Parentani

Targeted attacks against network infrastructure are notoriously difficult to guard against. In the case of communication networks, such attacks can leave users vulnerable to censorship and surveillance, even when cryptography is used. Much…

Cryptography and Security · Computer Science 2017-04-11 Edward L. Platt , Daniel M. Romero

This paper illustrates various aspects of the ER=EPR conjecture.It begins with a brief heuristic argument, using the Ryu-Takayanagi correspondence, for why entanglement between black holes implies the existence of Einstein-Rosen bridges.…

High Energy Physics - Theory · Physics 2014-12-31 Leonard Susskind

We consider single-channel transmission through a double quantum dot system consisting of two single dots that are connected by a wire and coupled each to one lead. The system is described in the framework of the S-matrix theory by using…

Quantum Physics · Physics 2009-11-10 I. Rotter , A. F. Sadreev

Non-Abelian anyons, a promising platform for fault-tolerant topological quantum computation, adhere to the charge super-selection rule (cSSR), which imposes restrictions on physically allowed states and operations. However, the…

Black hole complementarity, as originally formulated in the 1990's by Preskill, 't Hooft, and myself is now being challenged by the Almheiri-Marolf-Polchinski-Sully firewall argument. The AMPS argument relies on an implicit assumption---the…

High Energy Physics - Theory · Physics 2013-06-10 Leonard Susskind

We point out a structural similarity between the characterization of black hole apparent horizons as stable marginally outer trapped surfaces (MOTS) and the quantum description of a non-relativistic charged particle moving in given magnetic…

General Relativity and Quantum Cosmology · Physics 2015-06-17 José Luis Jaramillo