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The main motivation of this article is to derive sufficient conditions for dynamical stability of periodically driven quantum systems described by a Hamiltonian H(t), i.e., conditions under which it holds sup_{t in R} | (psi(t),H(t) psi(t))…

Mathematical Physics · Physics 2009-11-13 Pierre Duclos , Eric Soccorsi , Pavel Stovicek , Michel Vittot

Based on quantum encryption, we present a new idea for quantum public-key cryptography (QPKC) and construct a whole theoretical framework of a QPKC system. We show that the quantum-mechanical nature renders it feasible and reasonable to use…

Quantum Physics · Physics 2009-12-23 Fei Gao , Qiao-Yan Wen , Su-Juan Qin , Fu-Chen Zhu

Quantum secret sharing (QSS) schemes without entanglement have huge advantages in scalability and are easier to realize as they only require sequential communications of a single quantum system. However, these schemes often come with…

Quantum Physics · Physics 2019-12-04 Changbin Lu , Fuyou Miao , Junpeng Hou , Wenchao Huang , Yan Xiong

We give a sufficient condition for quantising integrable systems.

Mathematical Physics · Physics 2008-02-13 Mauricio D. Garay , Duco van Straten

Formal methods provide remarkable tools allowing for high levels of confidence in the correctness of developments. Their use is therefore encouraged, when not required, for the development of systems in which safety or security is…

Logic in Computer Science · Computer Science 2009-02-24 Eric Jaeger , Thérèse Hardin

Quantum zero-knowledge proofs and quantum proofs of knowledge are inherently difficult to analyze because their security analysis uses rewinding. Certain cases of quantum rewinding are handled by the results by Watrous (SIAM J Comput, 2009)…

Quantum Physics · Physics 2018-02-13 Andris Ambainis , Ansis Rosmanis , Dominique Unruh

Safe theories are quantum field theories whose continuum limit is defined by a non-Gaussian ultraviolet fixed point when the ultraviolet cutoff is removed. They constitute an important set in the space of quantum field theories. Here we…

High Energy Physics - Theory · Physics 2020-01-24 Soo-Jong Rey , Francesco Sannino

Quantum cryptography has been extensively studied in the last twenty years, but information-flow security of quantum computing and communication systems has been almost untouched in the previous research. Duo to the essential difference…

Cryptography and Security · Computer Science 2013-01-30 Mingsheng Ying , Yuang Feng , Nengkun Yu

We establish fundamental and general techniques for formal verification of quantum protocols. Quantum protocols are novel communication schemes involving the use of quantum-mechanical phenomena for representation, storage and transmission…

Quantum Physics · Physics 2007-05-23 Simon Gay , Rajagopal Nagarajan , Nikolaos Papanikolaou

In this work, we provide a UV safe Trinification theory in which the Standard Model is embedded. Using recently developed large number-of-flavor techniques, safety is achieved by adding to the theory gauged vector-like fermions. We find…

High Energy Physics - Phenomenology · Physics 2019-06-19 Zhi-Wei Wang , Abdulrahim Al Balushi , Robert Mann , Hao-Miao Jiang

We provide a conceptual assessment of some aspects of fundamental quantum field theories of gravity in light of foundational aspects of the swampland program. On the one hand, asymptotically safe quantum gravity may provide a simple and…

High Energy Physics - Theory · Physics 2026-02-04 Ivano Basile , Benjamin Knorr , Alessia Platania , Marc Schiffer

Creating precise timing devices at ultra-short time scales is not just an important technological challenge, but confronts us with foundational questions about timekeeping's ultimate precision limits. Research on clocks has either focused…

Quantum Physics · Physics 2026-01-19 Florian Meier , Yuri Minoguchi , Gianmichele Blasi , Géraldine Haack , Marcus Huber

We propose a quantum authentication protocol that is robust against the theft of secret keys. In the protocol, disposable quantum passwords prevent impersonation attacks with stolen secret keys. The protocol also prevents the leakage of…

Quantum Physics · Physics 2008-06-09 Masahiro Hotta , Masanao Ozawa

Nakano's later modality can be used to specify and define recursive functions which are causal or synchronous; in concert with a notion of clock variable, it is possible to also capture the broader class of productive (co)programs. Until…

Logic in Computer Science · Computer Science 2021-04-20 Jonathan Sterling , Robert Harper

We provide a computer-assisted approach to ensure that a given continuous or discrete-time polynomial system is (asymptotically) stable. Our framework relies on constructive analysis together with formally certified sums of squares Lyapunov…

Optimization and Control · Mathematics 2024-08-02 Grigory Devadze , Victor Magron , Stefan Streif

Linear Hamiltonian systems with time-dependent coefficients are of importance to nonlinear Hamiltonian systems, accelerator physics, plasma physics, and quantum physics. It is shown that the solution map of a linear Hamiltonian system with…

Mathematical Physics · Physics 2024-12-12 Hong Qin

The advantages of post-quantum cryptography over classical cryptography are covered in this survey. We address several post-quantum cryptography techniques. We conclude that the deployment of quantum-safe cryptographic systems is…

Quantum Physics · Physics 2024-02-20 Abhinav Awasthi , Atul Chaturvedi

We study classical Hamiltonian systems in which the intrinsic proper time evolution parameter is related through a probability distribution to the physical time, which is assumed to be discrete. In this way, a physical clock with discrete…

Quantum Physics · Physics 2007-05-23 H. -T. Elze

Two orthogonal-state-based protocols of quantum key agreement (QKA) are proposed. The first protocol of QKA proposed here is designed for two-party QKA, whereas the second protocol is designed for multi-party QKA. Security of these…

Quantum Physics · Physics 2014-07-09 Chitra Shukla , Nasir Alam , Anirban Pathak

In principe, General Relativity seems to allow the existence of closed timelike curves (CTC). However, when quantum effects are considered, it is likely that their existence is prevented by some kind of chronological protection mechanism,…

Quantum Physics · Physics 2020-01-29 Gonzalo Martín-Vázquez , Carlos Sabín