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We develop entanglement swapping protocols and memory allocation methods for quantum repeater chains. Unlike most of the existing studies, the memory size of each quantum repeater in this work is a parameter that can be optimized. Based on…

Quantum Physics · Physics 2021-11-23 Wenhan Dai , Don Towsley

Random generation and confidential distribution of cryptographic keys are fundamental building blocks of secure communication. Using quantum states in which the transmitted quantum bit is entangled with a stationary memory quantum bit…

Quantum Physics · Physics 2021-11-30 Pascal Kobel , Ralf A. Berner , Michael Köhl

Protocols for distributed quantum systems commonly require the simultaneous availability of $n$ entangled states, each with a fidelity above some fixed minimum $F_{\mathrm{app}}$ relative to the target maximally-entangled state. However,…

Hidden Markov chains are widely applied statistical models of stochastic processes, from fundamental physics and chemistry to finance, health, and artificial intelligence. The hidden Markov processes they generate are notoriously…

Chaotic Dynamics · Physics 2021-05-26 Alexandra M. Jurgens , James P. Crutchfield

Future quantum technologies such as quantum communication, quantum sensing, and distributed quantum computation, will rely on networks of shared entanglement between spatially separated nodes. In this work, we provide improved…

Quantum Physics · Physics 2024-04-02 Stav Haldar , Pratik J. Barge , Sumeet Khatri , Hwang Lee

Loosely speaking, the Shannon entropy rate is used to gauge a stochastic process' intrinsic randomness; the statistical complexity gives the cost of predicting the process. We calculate, for the first time, the entropy rate and statistical…

Statistical Mechanics · Physics 2017-09-13 S. E. Marzen , J. P. Crutchfield

Numerical security proofs offer a versatile approach for evaluating the secret-key generation rate of quantum key distribution (QKD) protocols. However, existing methods typically require perfect source characterization, which is…

We propose a quantum repeater protocol and architecture that mitigates decoherence of the entangled states by optimizing the quantum memory buffer time. The protocol maximizes the rate of distillable entanglement in the average accessed…

Quantum Physics · Physics 2019-03-21 Siddhartha Santra , Liang Jiang , Vladimir Malinovsky

The laws of quantum mechanics allow for the distribution of a secret random key between two parties. Here we analyse the security of a protocol for establishing a common secret key between N parties (i.e. a conference key), using resource…

Quantum Physics · Physics 2017-11-13 Michael Epping , Hermann Kampermann , Chiara Macchiavello , Dagmar Bruß

We demonstrate the connection between an operator's matrix element distribution and entangling power via numerical simulations of random, pseudo-random, and quantum chaotic operators. Creating operators with a random distribution of matrix…

Quantum Physics · Physics 2007-05-23 Yaakov S. Weinstein , C. Stephen Hellberg

We evaluate the performance of two-way quantum repeater chains with sequential entanglement swapping. Within the analysis we consider memory decoherence, gate imperfections, and imperfect link-level entanglement generation. Our main results…

Entangled states shared among distant nodes are frequently used in quantum network applications. When quantum resources are abundant, entangled states can be continuously distributed across the network, allowing nodes to consume them…

Quantum Physics · Physics 2024-02-01 Álvaro G. Iñesta , Stephanie Wehner

We present a detailed rate analysis for a hybrid quantum repeater assuming perfect memories and using optimal probabilistic entanglement generation and deterministic swapping routines. The hybrid quantum repeater protocol is based on atomic…

Quantum Physics · Physics 2011-03-09 Nadja K. Bernardes , Ludmiła Praxmeyer , Peter van Loock

The purpose of this review article is to present some of the latest developments using random techniques, and in particular, random matrix techniques in quantum information theory. Our review is a blend of a rather exhaustive review,…

Quantum Physics · Physics 2019-02-27 Benoit Collins , Ion Nechita

We propose the use of intra-particle entanglement to enhance the security of a practical implementation of the Bennett-Brassard-1984 (BB84) quantum key distribution scheme. Intra-particle entanglement is an attractive resource since it can…

Quantum Physics · Physics 2013-04-24 S. Adhikari , Dipankar Home , A. S. Majumdar , A. K. Pan , Akshata Shenoy H. , R. Srikanth

Statistical fluctuation problems are faced by all quantum key distribution (QKD) protocols under finite-key condition. Most of the current statistical fluctuation analysis methods work based on independent random samples, however, the…

Quantum Physics · Physics 2016-01-06 Hongxin Li , Haodong Jiang , Ming Gao , Zhi Ma , Chuangui Ma , Wei Wang

We analyze how the performance of a quantum-repeater network depends on the protocol employed to distribute entanglement, and we find that the choice of repeater-to-repeater link protocol has a profound impact on communication rate as a…

Quantum Physics · Physics 2016-08-24 Cody Jones , Danny Kim , Matthew T. Rakher , Paul G. Kwiat , Thaddeus D. Ladd

We develop a theory for long-distance quantum key distribution based on concatenated entanglement swapping using parametric down-conversion sources and show numerical results of our model. The model incorporates practical resources…

Quantum Physics · Physics 2016-02-09 Aeysha Khalique , Barry C. Sanders

Multipartite quantum repeaters play an important role in quantum communication networks enabling the transmission of quantum information over larger distances. To increase the rates for multipartite entanglement distribution, multiplexing…

We study quantum repeater chains in which entangled links between neighbouring nodes are created through heralded entanglement generation and adjacent links are swapped as soon as possible. Since heralded entanglement generation attempts…

Quantum Physics · Physics 2026-02-17 Jeroen Grimbergen , Stav Haldar , Alvaro Gomez Inesta , Stephanie Wehner