Experiments in Sound and Music Quantum Computing

This chapter is an introduction to quantum computing in sound and music. This is done through a series of examples of research applying quantum computing and principles to musical systems. By this process, the key elements that differentiate quantum physical systems from classical physical systems will be introduced and what this implies for computation, sound, and music. This will also allow an explanation of the two main types of quantum computers being utilized inside and outside of academia.

[1]  Lov K. Grover.  From Schrödinger’s equation to the quantum search algorithm , 2001, quant-ph/0109116.

[2]  Eduardo Miranda,et al.  Computer Sound Design : Synthesis techniques and programming , 2002 .

[3]  Tao Wang,et al.  Deep learning with COTS HPC systems , 2013, ICML.

[4]  Peter W. Shor,et al.  Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer , 1995, SIAM Rev..

[5]  Samuel Kounev,et al.  Evaluating and Modeling Virtualization Performance Overhead for Cloud Environments , 2011, CLOSER.

[6]  Andrew Lucas,et al.  Ising formulations of many NP problems , 2013, Front. Physics.

[7]  Robert P. Goldberg,et al.  Survey of virtual machine research , 1974, Computer.

[8]  Bob L. Sturm.  Composing for an ensemble of atoms: the metamorphosis of scientific experiment into music , 2001, Organised Sound.

[9]  Simon McIntosh-Smith,et al.  danceroom Spectroscopy: Interactive quantum molecular dynamics accelerated on GPU architectures using OpenCL , 2012 .

[10]  N. Swamy,et al.  Finding a better-than-classical quantum AND/OR algorithm using genetic programming , 1999, Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406).

[11]  John M. Martinis,et al.  State preservation by repetitive error detection in a superconducting quantum circuit , 2015, Nature.

[12]  Mark Davidson.  Stochastic Models of Quantum Mechanics — A Perspective , 2006, quant-ph/0610046.

[13]  Richard R. Warren,et al.  Numeric Experiments on the commercial quantum computer , 2013 .

[14]  D. Gabor.  Acoustical Quanta and the Theory of Hearing , 1947, Nature.

[15]  Deborah Campana.  As Time Passes , 2001 .

[16]  Javier Ramos,et al.  Sound Synthesis of a Gaussian Quantum Particle in an Infinite Square Well , 2014, Computer Music Journal.

[17]  Hong,et al.  Measurement of subpicosecond time intervals between two photons by interference. , 1987, Physical review letters.

[18]  Andrew Adamatzky,et al.  Towards Unconventional Computing through Simulated Evolution: Control of Nonlinear Media by a Learning Classifier System , 2008, Artificial Life.

[19]  Jeff Jones,et al.  The Emergence and Dynamical Evolution of Complex Transport Networks from Simple Low-Level Behaviours , 2015, Int. J. Unconv. Comput..

[20]  E. Knill,et al.  A scheme for efficient quantum computation with linear optics , 2001, Nature.

[21]  Matthias Troyer,et al.  Optimised simulated annealing for Ising spin glasses , 2014, Comput. Phys. Commun..

[22]  Stephen N. Freund,et al.  A formal framework for the Java bytecode language and verifier , 1999, OOPSLA '99.

[23]  Anthony Laing,et al.  Testing foundations of quantum mechanics with photons , 2014, Nature Physics.

[24]  Tamás Vértesi,et al.  Guaranteed violation of a Bell inequality without aligned reference frames or calibrated devices , 2011, Scientific Reports.

[25]  Karl Svozil,et al.  Quantum music , 2015, Soft Comput..

[26]  Fabián A. Chudak,et al.  The Ising model : teaching an old problem new tricks , 2010 .

[27]  N. Fine.  On the Walsh functions , 1949 .

[28]  Daniel A. Lidar,et al.  Consistency tests of classical and quantum models for a quantum annealer , 2014, 1403.4228.

[29]  Jennifer Seberry,et al.  On the Existence of Hadamard Matrices , 1976, J. Comb. Theory, Ser. A.

[30]  C. Monroe,et al.  Architecture for a large-scale ion-trap quantum computer , 2002, Nature.

[31]  D. Deutsch.  Quantum theory, the Church–Turing principle and the universal quantum computer , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[32]  A. Shimony,et al.  Proposed Experiment to Test Local Hidden Variable Theories. , 1969 .

[33]  Alexis Kirke,et al.  Towards Harmonic Extensions of Pulsed Melodic Affective Processing - Further Musical Structures for Increasing Transparency in Emotional Computation , 2014, Int. J. Unconv. Comput..

[34]  E. Miranda,et al.  Fuzzy Granular Synthesis Controlled by Walsh Functions , 2005 .

[35]  Alexis Kirke,et al.  Pulsed Melodic Affective Processing: Musical structures for increasing transparency in emotional computation , 2014, Simul..

[36]  M. Thompson,et al.  Generating, manipulating and measuring entanglement and mixture with a reconfigurable photonic circuit , 2012 .

[37]  Oh-Young Kwon,et al.  Performance Comparison Analysis of Linux Container and Virtual Machine for Building Cloud , 2014 .

[38]  Bob L. Sturm.  Sonification of particle systems via de Broglie's Hypothesis , 2000 .

[39]  T. S. Eugene Ng,et al.  The Impact of Virtualization on Network Performance of Amazon EC2 Data Center , 2010, 2010 Proceedings IEEE INFOCOM.

[40]  Hartmut Neven.  Quantum Annealing at Google: Recent Learnings and Next Steps , 2016 .