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Symmetries impose structure on the Hilbert space of a quantum mechanical model. The mathematical units of this structure are the irreducible representations of symmetry groups and I consider how they function as conceptual units of…

Quantum Physics · Physics 2018-01-29 N. L. Harshman

Tensor network theory and quantum simulation are respectively the key classical and quantum computing methods in understanding quantum many-body physics. Here, we introduce the framework of hybrid tensor networks with building blocks…

Quantum Physics · Physics 2021-09-02 Xiao Yuan , Jinzhao Sun , Junyu Liu , Qi Zhao , You Zhou

Quantum information science has the potential to revolutionize modern technology by providing resource-efficient approaches to computing, communication, and sensing. Although the physical qubits in a realistic quantum device will inevitably…

Mesoscale and Nanoscale Physics · Physics 2019-10-07 Yadav P. Kandel , Haifeng Qiao , Saeed Fallahi , Geoffrey C. Gardner , Michael J. Manfra , John M. Nichol

A universal quantum simulator would enable efficient simulation of quantum dynamics by implementing quantum-simulation algorithms on a quantum computer. Specifically the quantum simulator would efficiently generate qubit-string states that…

Quantum Physics · Physics 2013-07-08 Barry C. Sanders

Two-electron charged self-assembled quantum dot molecules exhibit a decoherence-avoiding singlet-triplet qubit subspace and an efficient spin-photon interface. Here, we demonstrate that the cycling transitions originating from auxiliary…

Mesoscale and Nanoscale Physics · Physics 2015-09-15 Y. L. Delley , M. Kroner , S. Faelt , W. Wegscheider , A. İmamoğlu

An infinite dimensional system such as a quantum harmonic oscillator offers a potentially unbounded Hilbert space for computation, but accessing and manipulating the entire state space requires a physically unrealistic amount of energy.…

Quantum Physics · Physics 2021-09-13 Yuan Liu , Jasmine Sinanan-Singh , Matthew T. Kearney , Gabriel Mintzer , Isaac L. Chuang

Using electrostatic gates to control the electron positions, we present a new controlled-NOT gate based on quantum dots. The qubit states are chosen to be the spin states of an excess conductor electron in the quantum dot; and the main…

Quantum Physics · Physics 2007-05-23 Cyrus C. Y. Lin , Chopin Soo , Yin-Zhong Wu , Wei-Min Zhang

We consider a quantum system with a finite number of distinguishable quantum states, which may be partitioned freely by a number of quantum particles, assumed to be maximally entangled. We show that if we partition the system into a number…

We study n-qubit operation rules on (n+1)-sphere with the target to help developing a (photon or other technique) based programmable quantum computer. In the meanwhile, we derive the scaling limits (called reflecting Gaussian random fields…

Quantum Physics · Physics 2024-02-20 Wanyang Dai

We describe an efficient protocol to perform quantum state transfer using Hamiltonian dynamics with long-range interactions. The time to transfer $n$ qubits a sufficiently large distance is proportional to $\sqrt{n}$. Even without error…

Quantum Physics · Physics 2021-05-05 Yifan Hong , Andrew Lucas

Faithfully transferring the quantum state is essential for quantum information processing. Here we demonstrate a fast (in 84 ns) and high-fidelity (99.2%) transfer of arbitrary quantum states in a chain of four superconducting qubits with…

Quantum Physics · Physics 2018-11-09 X. Li , Y. Ma , J. Han , Tao Chen , Y. Xu , W. Cai , H. Wang , Y. P. Song , Zheng-Yuan Xue , Zhang-qi Yin , Luyan Sun

Universal quantum computation using optical coherent states is studied. A teleportation scheme for a coherent-state qubit is developed and applied to gate operations. This scheme is shown to be robust to detection inefficiency.

Quantum Physics · Physics 2009-11-07 H. Jeong , M. S. Kim

We investigate the most general mechanisms that lead to perfect synchronization of the quantum states of all subsystems of an open quantum system starting from an arbitrary initial state. We provide a necessary and sufficient condition for…

Quantum Physics · Physics 2021-07-21 Jakub Czartowski , Ronny Müller , Karol Zyczkowski , Daniel Braun

Identifying quantum phases and phase transitions is key to understand complex phenomena in statistical physics. In this work, we propose an unconventional strategy to access quantum phases and phase transitions by visualization based on the…

Strongly Correlated Electrons · Physics 2021-04-13 Yuan Yang , Zheng-Zhi Sun , Shi-Ju Ran , Gang Su

Spin network states are a powerful tool for constructing the $SU(2)$ gauge theories on a graph. In loop quantum gravity (LQG), they have yielded many promising predictions, although progress has been limited by the computational challenge…

General Relativity and Quantum Cosmology · Physics 2023-04-10 Grzegorz Czelusta , Jakub Mielczarek

We expand a set of notions recently introduced providing the general setting for a universal representation of the quantum structure on which quantum information stands. The dynamical evolution process associated with generic quantum…

Quantum Physics · Physics 2009-11-10 Annalisa Marzuoli , Mario Rasetti

Quantum computers provide a fundamentally new computing paradigm that promises to revolutionize our ability to solve broad classes of problems. Surprisingly, the basic mathematical structures of gate-based quantum computing, such as unitary…

Quantum Physics · Physics 2019-08-20 Brian R. La Cour , S. Andrew Lanham , Corey I. Ostrove

Quantum teleportation is a process in which an unknown quantum state is transferred between two spatially separated subspaces of a bipartite quantum system which share an entangled state and communicate classically. In the case of photonic…

Quantum Physics · Physics 2015-09-02 Manuel Erhard , Hammam Qassim , Harjaspreet Mand , Ebrahim Karimi , Robert W Boyd

Transferring the information stored in the expansion coefficients of a multi-qubit state to the coefficients of a continuous-variable state is an important protocol for communicating quantum information. It was shown in previous work how to…

Quantum Physics · Physics 2026-04-15 Joel Bierman , Shubdeep Mohapatra , Huiyang Zhou , Yuan Liu

Transistors play a vital role in classical computers, and their quantum mechanical counterparts could potentially be as important in quantum computers. Where a classical transistor is operated as a switch that either blocks or allows an…

Quantum Physics · Physics 2018-04-10 N. J. S. Loft , L. B. Kristensen , C. K. Andersen , N. T. Zinner
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