Introduction to Quantum Computation

Abstract

This is an introductory review on the basic principles of quantum computation. Various important quantum logic gates and algorithms based on them are introduced. Quantum teleportation and decoherence are discussed briefly. Some problems, without solutions, are included.

39 pages, 27 postscript figures, some typos corrected, requires Lyx 1.2

Cited by in corpus (40)

• Quantum computation with trapped polar molecules
• Quantum Error Correction for Beginners
• Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
• Restrictions on Transversal Encoded Quantum Gate Sets
• Stabilizer Formalism for Operator Quantum Error Correction
• Measurement-Only Topological Quantum Computation
• Can One Trust Quantum Simulators?
• Fault-Tolerant Quantum Computation For Local Non-Markovian Noise
• Effective fault-tolerant quantum computation with slow measurements
• Interferometry of non-Abelian Anyons
• Clean Positive Operator Valued Measures
• Implementing arbitrary phase gates with Ising anyons
• Delayed - Choice Entanglement - Swapping with Vacuum-One Photon Quantum States
• Protecting Quantum Information Encoded in Decoherence Free States Against Exchange Errors
• A State Distillation Protocol to Implement Arbitrary Single-qubit Rotations
• Splitting the Topological Degeneracy of non-Abelian Anyons
• On the Entanglement Properties of Two-Rebits Systems
• Universal Gates via Fusion and Measurement Operations on SU$(2{)}_4$ Anyons
• Efficient discrete-time simulations of continuous-time quantum query algorithms
• Subspace Confinement: How good is your qubit?
• Statistically significant tests of multiparticle quantum correlations based on randomized measurements
• Quasiparticle tunneling in the Moore-Read fractional quantum Hall State
• Highly-Degenerate Photonic Waveguide Structures for Holonomic Computation
• Multi-partite Quantum Entanglement versus Randomization: Fair and Unbiased Leader Election in Networks
• On the distribution of entanglement changes produced by unitary operations
• Experimentally Realizable C-NOT Gate in a Flux Qubit/Resonator System
• Introduction to Quantum Cellular Automata
• On the Principles of Differentiable Quantum Programming Languages
• Measuring Topological Order
• Foundational Patterns for Efficient Quantum Computing
• On the Correlations Between Quantum Entanglement and q-Information Measures
• Effect of ancilla's structure on quantum error correction using the 7-qubit Calderbank-Shor-Steane code
• Single-qubit unitary gates by graph scattering
• Werner states and the two-spinors Heisenberg anti-ferromagnet
• Optimal estimation of quantum observables
• Optimization of quantum universal detectors
• Quantum Artificial Intelligence
• Frequency Hopping in Quantum Interferometry: Efficient Up-Down Conversion for Qubits and Ebits
• Entanglement at distance: qubits versus continuous variables
• An extremal result for geometries in the one-way measurement model