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Noisy intermediate-scale quantum (NISQ) hardware is typically limited to low-depth quantum circuits to limit the number of opportunities for introduction of error by unreliable quantum gates. A less-explored alternative approach is to…

Quantum Physics · Physics 2021-09-22 Troy J. Sewell , Stephen P. Jordan

We implement dynamical decoupling techniques to mitigate noise and enhance the lifetime of an entangled state that is formed in a superconducting flux qubit coupled to a microscopic two-level system. By rapidly changing the qubit's…

We prove the condition for local trace-preserving channels to create quantum correlation from initially classical states. For two-qubit states, the necessary and sufficient condition for a channel that cannot create quantum correlation in…

Quantum Physics · Physics 2011-10-26 Xueyuan Hu , Heng Fan , Duan-Lu Zhou , Wu-Ming Liu

This work is the development and analysis of the recently proposed quantum cryptographic protocol, based on the use of the two-mode coherently correlated states. The protocol is supplied with the cryptographic control procedures. The…

Quantum Physics · Physics 2009-11-10 Constantin V. Usenko , Vladyslav C. Usenko

The construction of large, coherent quantum systems necessary for quantum computation remains an entreating but elusive goal, due to the ubiquitous nature of decoherence. Recent progress in quantum error correction schemes have given new…

Quantum Physics · Physics 2008-02-03 Isaac L. Chuang , Yoshihisa Yamamoto

Open quantum system dynamics of random unitary type may in principle be fully undone. Closely following the scheme of environment-assisted error correction proposed by Gregoratti and Werner [M. Gregoratti and R. F. Werner, J. Mod. Opt.…

Quantum Physics · Physics 2013-05-29 Benjamin Trendelkamp-Schroer , Julius Helm , Walter T. Strunz

Gaussian channels are the typical way to model the decoherence introduced by the environment in continuous-variable quantum states. It is known that those channels can be simulated by a teleportation protocol using as a resource state…

Quantum Physics · Physics 2018-12-05 Spyros Tserkis , Josephine Dias , Timothy C. Ralph

When sending quantum information over a channel, we want to ensure that the message remains intact. Quantum error correction and quantum authentication both aim to protect (quantum) information, but approach this task from two very…

Quantum Physics · Physics 2022-11-18 Yfke Dulek , Garazi Muguruza , Florian Speelman

Quantum codes typically rely on large numbers of degrees of freedom to achieve low error rates. However each additional degree of freedom introduces a new set of error mechanisms. Hence minimizing the degrees of freedom that a quantum code…

Quantum Physics · Physics 2021-08-11 Yingkai Ouyang , Earl T. Campbell

Bosonic codes, leveraging infinite-dimensional Hilbert spaces for redundancy, offer great potential for encoding quantum information. However, the realization of a practical continuous-variable bosonic code that can simultaneously correct…

Quantum Physics · Physics 2026-05-19 Yexiong Zeng , Fernando Quijandría , Clemens Gneiting , Franco Nori

We prove an analogue of the "bottleneck theorem", well-known for classical Markov chains, for Markovian quantum channels. In particular, we show that if two regions (subspaces) of Hilbert space are separated by a region that has very low…

Quantum Physics · Physics 2024-12-13 Tibor Rakovszky , Benedikt Placke , Nikolas P. Breuckmann , Vedika Khemani

Atomic nuclei are complex, quantum many-body systems whose structure manifests itself through intrinsic quantum states associated with different excitation modes or degrees of freedom. Collective modes (vibration and/or rotation) dominate…

Nuclear Theory · Physics 2015-05-19 Alexis Diaz-Torres

We consider entanglement-assisted remote quantum state manipulation of bi-partite mixed states. Several aspects are addressed: we present a class of mixed states of rank two that can be transformed into another class of mixed states under…

Quantum Physics · Physics 2009-10-31 J. Eisert , M. Wilkens

Large-scale fault-tolerant superconducting quantum computation needs rapid quantum communication to network qubits fabricated on different chips and long-range couplers to implement efficient quantum error-correction codes. Quantum channels…

Quantum Physics · Physics 2025-01-16 Yang He , Yu-Xiang Zhang

Random measurements have been shown to induce a phase transition in an extended quantum system evolving under chaotic unitary dynamics, when the strength of measurements exceeds a threshold value. Below this threshold, a steady state with a…

Statistical Mechanics · Physics 2021-06-02 Ruihua Fan , Sagar Vijay , Ashvin Vishwanath , Yi-Zhuang You

We introduce a new protocol, the channel-state coding protocol, to quantum Shannon theory. This protocol generates entanglement between a sender and receiver by coding for a noisy quantum channel with the aid of a noisy shared state. The…

Quantum Physics · Physics 2010-08-12 Mark M. Wilde , Min-Hsiu Hsieh

We analyse the use of entangled states to perform quantum computations non locally among distant nodes in a quantum network. The complexity associated with the generation of multiparticle entangled states is quantified in terms of the…

Quantum Physics · Physics 2009-10-31 J. I. Cirac , A. Ekert , S. F. Huelga , C. Macchiavello

The scheme of entanglement-assisted quantum error-correcting (EAQEC) codes assumes that the ebits of the receiver are error-free. In practical situations, errors on these ebits are unavoidable, which diminishes the error-correcting ability…

Quantum Physics · Physics 2012-09-26 Ching-Yi Lai , Todd A. Brun

Quantum hardware suffers from high error rates and noise, which makes directly running applications on them ineffective. Quantum Error Correction (QEC) is a critical technique towards fault tolerance which encodes the quantum information…

Quantum Physics · Physics 2024-04-24 Hanrui Wang , Pengyu Liu , Yilian Liu , Jiaqi Gu , Jonathan Baker , Frederic T. Chong , Song Han

We extend the real-space renormalization group (RG) approach to the study of the energy level statistics at the integer quantum Hall (QH) transition. Previously it was demonstrated that the RG approach reproduces the critical distribution…

Disordered Systems and Neural Networks · Physics 2009-11-07 Philipp Cain , Rudolf A. Roemer , Mikhail E. Raikh