Quantum computation from fermionic anyons on a 1D lattice
arXiv:1812.06807 · doi:10.1103/PhysRevA.99.062335
Abstract
Fermionic linear optics corresponds to the dynamics of free fermions, and is known to be efficiently simulable classically. We define fermionic anyon models by deforming the fermionic algebra of creation and annihilation operators, and consider the dynamics of number-preserving, quadratic Hamiltonians on these operators. We show that any such deformation results in an anyonic linear optical model which allows for universal quantum computation.
arXiv comment9 pages, double-column, 2 figures v2: added references, corrected typos, better phrasing
References in corpus (34)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Anyons in an exactly solved model and beyond
- Fermionic quantum computation
- Quasihole States Realize -Dimensional Spinor Braiding Statistics in Paired Quantum Hall States
- On the Entangling Power of Quantum Evolutions
- Classical simulation of noninteracting-fermion quantum circuits
- A practical scheme for quantum computation with any two-qubit entangling gate
- Simulation of topological field theories by quantum computers
- Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State
- Statistically induced Phase Transitions and Anyons in 1D Optical Lattices
- Algebraic Approach to Interacting Quantum Systems
- The Anyon Hubbard Model in One-Dimensional Optical Lattices
- Anyon-fermion mapping and applications to ultracold gases in tight waveguides
- Universal Quantum Computation with Metaplectic Anyons
- Floquet realization and signatures of one-dimensional anyons in an optical lattice
- Universal quantum computation with weakly integral anyons
- Anyons and Quantum Groups
- Ground-state properties of one-dimensional anyon gases
- Qubits as Parafermions
- Exact gate-sequences for universal quantum computation using the XY-interaction alone
- Dynamical properties of hard-core anyons in one-dimensional optical lattices
- Engineering interactions and anyon statistics by multicolor lattice-depth modulations
- Entangling power and local invariants of two-qubit gates
- Ground-state properties of anyons in a one-dimensional lattice
- One-Dimensional XXZ Model for Particles Obeying Fractional Statistics
- Quantum Walks of Two Interacting Anyons in 1D Optical Lattices
- Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics
- Universal Gates via Fusion and Measurement Operations on SU Anyons
- Extending matchgates into universal quantum computation
- Universal extensions of restricted classes of quantum operations
- Deformed exterior algebra, Quons and related Coherent States
- Example of q-deformed Field Theory
- On the R-Matrix Formulation of Deformed Algebras and Generalized Jordan-Wigner Transformations