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The role of differential equations (DEs) in science and engineering is of paramount importance, as they provide the mathematical framework for a multitude of natural phenomena. Since quantum computers promise significant advantages over…

量子物理 · 物理学 2025-04-11 Niclas Schillo , Andreas Sturm

A $n^d \xrightarrow{p} 1$ Quantum Random Access Code (QRAC) is a communication task where Alice encodes $n$ classical bits into quantum states of dimension $d$ and transmits them to Bob, who performs appropriate measurements to recover the…

Quantum computers require error correction to achieve universal quantum computing. However, current decoding of quantum error-correcting codes relies on classical computation, which is slower than quantum operations in superconducting…

量子物理 · 物理学 2025-06-11 Pan Zhang

The current proposals for the realization of quantum computer such as NMR, quantum dots and trapped ions are based on the using of an atom or an ion as one qubit. In these proposals a quantum computer consists from several atoms and the…

量子物理 · 物理学 2007-05-23 I. V. Volovich

We discuss dense coding with $n$ copies of a specific preshared state between the sender and the receiver when the encoding operation is limited to the application of group representation. Typically, to act on multiple local copies of these…

量子物理 · 物理学 2024-06-25 Ryuji Takagi , Masahito Hayashi

We consider the fundamental protocol of dense coding of classical information assuming that noise affects both the forward and backward communication lines between Alice and Bob. Assuming that this noise is described by the same quantum…

量子物理 · 物理学 2020-04-13 Riccardo Laurenza , Cosmo Lupo , Seth Lloyd , Stefano Pirandola

We present two robust quantum key distribution protocols against two kinds of collective noise, following some ideas in quantum dense coding. Three-qubit entangled states are used as quantum information carriers, two of which forming the…

量子物理 · 物理学 2010-01-12 Xi-Han Li , Bao-Kui Zhao , Yu-Bo Sheng , Fu-Guo Deng , Hong-Yu Zhou

Quantum information needs to be protected by quantum error-correcting codes due to imperfect physical devices and operations. One would like to have an efficient and high-performance decoding procedure for the class of quantum stabilizer…

量子物理 · 物理学 2023-07-18 Kao-Yueh Kuo , Ching-Yi Lai

Simulating nuclear matter described by quantum chromodynamics using quantum computers is notoriously inefficient because of the assortment of quark degrees of freedom such as matter/antimatter, flavor, color, and spin. Here, we propose to…

量子物理 · 物理学 2026-02-10 William Huie , Cianan Conefrey-Shinozaki , Zhubing Jia , Patrick Draper , Jacob P. Covey

Significant challenges remain with the development of macroscopic quantum computing, hardware problems of noise, decoherence, and scaling, software problems of error correction, and, most important, algorithm construction. Finding truly…

量子物理 · 物理学 2022-12-05 James E. Steck , Nathan L. Thompson , Elizabeth C. Behrman

A proposal for a scalable, solid-state implementation of a quantum computer is presented. Qubits are fluorine nuclear spins in a solid crystal of fluorapatite [Ca_5 F(PO_4)_3] with resonant frequencies separated by a large field gradient.…

量子物理 · 物理学 2007-05-23 T. D. Ladd , J. R. Goldman , A. Dana , F. Yamaguchi , Y. Yamamoto

We propose a new scheme of measurement-based quantum computation (MBQC) using an error-correcting code against photon-loss in circuit quantum electrodynamics. We describe a specific protocol of logical single-qubit gates given by sequential…

量子物理 · 物理学 2019-12-17 Jaewoo Joo , Chang-Woo Lee , Shingo Kono , Jaewan Kim

Quantum coherence is a crucial resource for quantum information processing. By employing the language of coherence orders largely applied in NMR systems, quantum coherence has been currently addressed in terms of multiple quantum coherences…

量子物理 · 物理学 2020-08-12 Diego Paiva Pires , Augusto Smerzi , Tommaso Macrì

We propose a new physical approach for encoding and processing of quantum information in ensembles of multi-level quantum systems, where the different bits are not carried by individual particles but associated with the collective…

量子物理 · 物理学 2009-11-13 E. Brion , K. Moelmer , M. Saffman

In this paper, a novel multi-party quantum private comparison (MQPC) protocol for equality comparison with n-level single-particle states is constructed, where the encoded particles are transmitted in a circular way. Here, n parties employ…

量子物理 · 物理学 2022-05-23 Chong-Qiang Ye , Tian-Yu Ye

We investigate probabilistic dense coding in non-symmetric Hilbert spaces of the sender's and the receiver's particles. The sender and the receiver share the multipartite non-maximally quantum channel. We also discuss the average…

量子物理 · 物理学 2009-11-13 Qiu-Bo Fan , Shou Zhang

This thesis focuses on quantum information processing using the superconducting device, especially, on realizing quantum gates and algorithms in open quantum systems. Such a device is constructed by transmon-type superconducting qubits…

量子物理 · 物理学 2024-01-17 Hamid Sakhouf

Dense coding is arguably the protocol that launched the field of quantum communication. Today, however, more than a decade after its initial experimental realization, the channel capacity remains fundamentally limited as conceived for…

量子物理 · 物理学 2010-09-28 Julio T. Barreiro , Tzu-Chieh Wei , Paul G. Kwiat

We investigate the effect of noisy channels in a classical information transfer through a multipartite state which acts as a substrate for the distributed quantum dense coding protocol between several senders and two receivers. The…

量子物理 · 物理学 2015-11-30 Tamoghna Das , R. Prabhu , Aditi Sen De , Ujjwal Sen

We present a scheme to encode M extra classical bits to a dense-coded pair of photons. By tuning the delay of an entangled pair of photons to one of 2^M time-bins and then applying one of the quantum dense coding protocols, a receiver…

量子物理 · 物理学 2016-08-24 Salem F. Hegazy , Ahmed E. Morra , Salah S. A. Obayya