A5022847585- Quantum Information and Cryptography
- Quantum Computing Algorithms and Architecture
- Quantum Mechanics and Applications
- Logic, programming, and type systems
- Logic, Reasoning, and Knowledge
- Formal Methods in Verification
- Mathematics and Applications
- Computability, Logic, AI Algorithms
- Advanced biosensing and bioanalysis techniques
- Modular Robots and Swarm Intelligence
- Black Holes and Theoretical Physics
- Hydraulic and Pneumatic Systems
- Electric and Hybrid Vehicle Technologies
- Quantum optics and atomic interactions
- DNA and Biological Computing
- Quantum many-body systems
- Molecular spectroscopy and chirality
- Advanced Algebra and Logic
- Optical measurement and interference techniques
- Algebraic structures and combinatorial models
- Quantum-Dot Cellular Automata
- Advanced Vision and Imaging
- Image Processing Techniques and Applications
- Robotics and Sensor-Based Localization
- Numerical Methods and Algorithms
Tsinghua University
2014-2024
Peng Cheng Laboratory
2024
Harbin Institute of Technology
2024
Southwest Jiaotong University
2020-2021
Beijing Academy of Quantum Information Sciences
2021
We solve the entanglement classification under stochastic local operations and classical communication (SLOCC) for general $n$-qubit states. For two arbitrary pure states connected via operations, we establish an equation between coefficient matrices associated with The rank of matrix is preserved SLOCC gives rise to a simple way partitioning all $n$ qubits into different families classes, as exemplified here. When applied symmetric states, this approach reveals that Dicke...
We show there are at least 28 distinct true SLOCC entanglement classes for four-qubits by means of invariant and semi-invariants derive the number degenerated n-qubits.
In this paper, we find the invariant for $n$-qubits and propose residual entanglement by means of invariant. Thus, establish a relation between SLOCC entanglement. The can be used classification $n$-qubits.
We construct coefficient matrices of size ${2}^{\ensuremath{\ell}}$ by ${2}^{n\ensuremath{-}\ensuremath{\ell}}$ associated with pure $n$-qubit states and prove the invariance ranks under stochastic local operations classical communication (SLOCC). The give rise to a simple way partitioning into inequivalent families distinguishing degenerate from one another SLOCC. Moreover, classification scheme via can be combined other schemes build more refined scheme. To exemplify we classify nine four...
In 2000, D\"{u}r, Vidal and Cirac indicated that there are infinitely many SLOCC classes for four qubits. Later, Verstraete, Dehaene, Verschelde proposed nine families of states corresponding to different ways entangling And then in 2007 Lamata et al. reported eight true entanglement qubits up permutations the this paper, we investigate classification by Dehaene Verschelde, distinguish 49 from them.
Coffman et al. [Phys. Rev. A 61, 052306 (2000)] introduced the residual entanglement for three qubits. In this paper, we present measure τ(ψ) even n qubits; odd qubits, propose τ(i)(ψ) with respect to qubit i and n-tangle R(ψ) by averaging each qubit. show that these measures are LU-invariant, monotones, invariant under permutations of multiplicative in some cases.
The black-hole--qubit correspondence has been proven to be ``useful for obtaining additional insight into one of the string black hole theory and quantum information by exploiting approaches other"[Phys. Rev. D 82, 026003 (2010)]. Though different classes stringy holes can related well-known stochastic local operations classical communication (SLOCC) entanglement pure states, requires a more detailed classification than SLOCC three qubits. In this paper, we derive family qubits under unitary...
Recently, several schemes for the experimental creation of Dicke states were described. In this paper, we show that all n-qubit symmetric with l (2⩽l⩽(n- 2)) excitations are inequivalent to |GHZ⟩ state or |W⟩ under SLOCC, even n/2 is any l≠n/2 and satisfy Coffman, Kundu Wootters' generalized monogamy inequality C122+...+C1n2<C1(2...n)2<1.
We develop a simple method for constructing polynomial invariants of degree 4 even-$n$ qubits and give explicit expressions these invariants. demonstrate the invariance polynomials under stochastic local operations classical communication exemplify use in classifying entangled states. The absolute values are entanglement monotones, thereby allowing measures to be built. Finally, we discuss properties measures.
We show that for even $n$ qubits,$\ n$-tangle is the square of SLOCC polynomial invariant degree 2. find $n$-tangle not residual entanglement any $n\geq 4$\ qubits. give a necessary and sufficient condition vanishing concurrence $C_{1(2...n)}$. The implies $C_{1(2...n)}$ always positive entangled states while vanishes some states. argue $n$\ qubits, $ C_{1(2...n)}$\ equal to or greater than $n$-tangle.\ Further, we reveal partial measure product qubits multiplicative
We propose a method of classifying $n$-qubit states into stochastic local operations and classical communication inequivalent families in terms the rank square matrix $C{(i{\ensuremath{\sigma}}_{y})}^{\ensuremath{\bigotimes}k}{C}^{T}$, where $C$ is rectangular coefficient state ${\ensuremath{\sigma}}_{y}$ Pauli operator. The $C{(i{\ensuremath{\sigma}}_{y})}^{\ensuremath{\bigotimes}k}{C}^{T}$ capable distinguishing between Greenberger-Horne-Zeilinger $W$ states. determinant gives rise to...
In this paper, we study SLOCC determinant invariants of order 2n/2 for any even n qubits, which satisfy the equations. The can be constructed by a simple method and set all these is complete with respect to permutations qubits. entanglement classification achieved via vanishing or not invariants. We exemplify several number an emphasis on six
When a cavitating jet enters the atmosphere directly, its effect weakens rapidly, and erosion energy it produces cannot be fully utilized. Regarding problem that existing cavitation nozzles are only used in submerged condition, methods to improve ability of jets under nonsubmerged condition studied. The nozzle is visually simulated using Fluent software, results show dynamic environment at outlet effectively expands nearby low-pressure area. enhancement annular on domain verified by...