Quantum Circuit Simulation

• Main Authors: Viamontes, George F. (Author), Markov, Igor L. (Author), Hayes, John P. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2009.
• Subjects: Engineering.; Algorithms.; Computer simulation.; Applied mathematics.; Engineering mathematics.; Quantum physics.; Quantum computers.; Spintronics.; Electronic circuits.; Circuits and Systems.; Applications of Mathematics.; Quantum Physics.; Quantum Information Technology, Spintronics.; Simulation and Modeling.; Algorithm Analysis and Problem Complexity.

Recent progress in atomic physics, semiconductors, and optical technologies lead to the need to control matter at an unprecedented scale. However, atoms, electrons and photons do not obey laws of classical physics and instead are governed by quantum mechanics. The formalism of quantum circuits promi...

Table of Contents:

• Gate Modeling and Circuit Simulation
• Linear Algebra and Quantum Mechanics
• Quantum Information Processing
• Special Case: Simulating Stabilizer Circuits
• Generic Circuit Simulation Techniques
• State-Vector Simulation with Decision Diagrams
• Density-Matrix Simulation with QuIDDs
• Checking Equivalence of States and Circuits
• Improving QuIDD-based Simulation
• Closing Remarks.