UNIVERSAL QUANTUM GATE, YANG–BAXTERIZATION AND HAMILTONIAN
From MaRDI portal
Publication:5291615
DOI10.1142/S0219749905001547zbMath1090.81023arXivquant-ph/0412095MaRDI QIDQ5291615
Louis H. Kauffman, Yong Zhang, Mo-Lin Ge
Publication date: 10 May 2006
Published in: International Journal of Quantum Information (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0412095
Related Items (36)
Teleportation-based quantum computation, extended Temperley-Lieb diagrammatical approach and Yang-Baxter equation ⋮ Factorized three-body S-matrix restrained by the Yang-Baxter equation and quantum entanglements ⋮ \(\ell_1\)-norm and entanglement in screening out braiding from Yang-Baxter equation associated with \(\mathbb{Z}_3\) parafermion ⋮ Quantum phase transition, quantum fidelity and fidelity susceptibility in the Yang-Baxter system ⋮ Dynamics of quantum Fisher information in the two-qubit systems constructed from the Yang-Baxter matrices ⋮ Yang-Baxter \({\breve R}\) matrix, entanglement and Yangian ⋮ PERMUTATION AND ITS PARTIAL TRANSPOSE ⋮ Enhancement of the quantum parameter estimation in Yang-Baxter systems ⋮ Entanglement and Yangian in a \({V^{\otimes 3}}\) Yang-Baxter system ⋮ Quantum computing via the Bethe ansatz ⋮ Temperley-Lieb algebra, Yang-Baxterization and universal gate ⋮ Quantum teleportation and Birman-Murakami-Wenzl algebra ⋮ Higher dimensional unitary braid matrices: Construction, associated structures, and entanglements ⋮ Tripartite entanglement sudden death in Yang-Baxter systems ⋮ Dirac's Hamiltonian and Bogoliubov's Hamiltonian as representation of the braid group ⋮ The topological basis expression of Heisenberg spin chain ⋮ Topological-like features in diagrammatical quantum circuits ⋮ GHZ states, almost-complex structure and Yang-Baxter equation ⋮ Measurement of `closeness' and distinguishability of the quantum states in Yang-Baxter systems ⋮ Berry phase and quantum criticality in Yang-Baxter systems ⋮ Local unitary representation of braids and N-qubit entanglements ⋮ Entanglement and Berry phase in a parameterized three-qubit system ⋮ QUASITRIANGULAR HOPF ALGEBRAS, BRAID GROUPS AND QUANTUM ENTANGLEMENT ⋮ The sudden death of entanglement in constructed Yang-Baxter systems ⋮ Solutions of the Yang-Baxter equation associated with a topological basis and applications in quantum information ⋮ Duality quantum simulation of the Yang-Baxter equation ⋮ Berry phase and entanglement of three qubits in a new Yang–Baxter system ⋮ Quantum Yang-Baxter equation and constantR-matrix over Grassmann algebra ⋮ A REPRESENTATION OF SPECIALIZED BIRMAN-WENZL-MURAKAMI ALGEBRA AND BERRY PHASE IN YANG-BAXTER SYSTEM ⋮ THE REPRESENTATIONS OF TEMPERLEY-LIEB ALGEBRA AND ENTANGLEMENT IN A YANG-BAXTER SYSTEM ⋮ THERMAL ENTANGLEMENT IN THE TWO-QUBIT SYSTEMS CONSTRUCTED FROM THE YANG-BAXTER $\check{R}$-MATRIX ⋮ Entanglement and Berry phase in a \(9 \times 9\) Yang-Baxter system ⋮ METHOD OF CONSTRUCTING BRAID GROUP REPRESENTATION AND ENTANGLEMENT IN A 9 × 9 YANG–BAXTER SYSTEM ⋮ Entanglement and Berry phase in a \((3\times 3)\)-dimensional Yang-Baxter system ⋮ Dynamics of the quantum coherence under the concatenation of Yang-Baxter matrix ⋮ Local invariants of braiding quantum gates—associated link polynomials and entangling power
Cites Work
- Unnamed Item
- Yang-Baxterization of braid group representations
- The Yang-Baxter equation and invariants of links
- Partition function of the eight-vertex lattice model
- Unitary solutions to the Yang-Baxter equation in dimension four
- Universal quantum gates
- Mathematics of Quantum Computation
- Yang-Baxterization of the eight-vertex model: the braid group approach
- New solutions of Braid group representations associated with Yang–Baxter equation
- NEW SOLUTIONS OF THE YANG-BAXTER EQUATION AND THEIR YANG-BAXTERIZATION
- EXPLICIT TRIGONOMETRIC YANG-BAXTERIZATION
- Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
- Exactly Solvable Models and New Link Polynomials. I. N-State Vertex Models
- Exactly Solvable Models and New Link Polynomials. II. Link Polynomials for Closed 3-Braids
- BAXTERIZATION
This page was built for publication: UNIVERSAL QUANTUM GATE, YANG–BAXTERIZATION AND HAMILTONIAN
