Cloud Quantum Computing of an Atomic Nucleus.

We report a quantum simulation of the deuteron binding energy on quantum processors accessed via cloud servers. We use a Hamiltonian from pionless effective field theory at leading order. We design a low-depth version of the unitary coupled-cluster ansatz, use the variational quantum eigensolver algorithm, and compute the binding energy to within a few percent. Our work is the first step towards scalable nuclear structure computations on a quantum processor via the cloud, and it sheds light on how to map scientific computing applications onto nascent quantum devices.

[1]  G. R. Jansen,et al.  Pion-less effective field theory for atomic nuclei and lattice nuclei , 2017, Physical Review C.

[2]  Blake R. Johnson,et al.  Unsupervised Machine Learning on a Hybrid Quantum Computer , 2017, 1712.05771.

[3]  Yudong Cao,et al.  OpenFermion: the electronic structure package for quantum computers , 2017, Quantum Science and Technology.

[4]  Travis S. Humble,et al.  Extreme-Scale Programming Model for Quantum Acceleration within High Performance Computing , 2017 .

[5]  Andrew W. Cross,et al.  Open Quantum Assembly Language , 2017, 1707.03429.

[6]  Hartmut Neven,et al.  Low-Depth Quantum Simulation of Materials , 2017, 1706.00023.

[7]  J. Gambetta,et al.  Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets , 2017, Nature.

[8]  Ying Li,et al.  Efficient Variational Quantum Simulator Incorporating Active Error Minimization , 2016, 1611.09301.

[9]  William J. Zeng,et al.  A Practical Quantum Instruction Set Architecture , 2016, ArXiv.

[10]  P. Coveney,et al.  Scalable Quantum Simulation of Molecular Energies , 2015, 1512.06860.

[11]  K. Wendt,et al.  Effective field theory in the harmonic oscillator basis , 2015, 1512.03802.

[12]  Alán Aspuru-Guzik,et al.  The theory of variational hybrid quantum-classical algorithms , 2015, 1509.04279.

[13]  M. Yung,et al.  Quantum implementation of the unitary coupled cluster for simulating molecular electronic structure , 2015, 1506.00443.

[14]  S. C. Pieper,et al.  Quantum Monte Carlo methods for nuclear physics , 2014, 1412.3081.

[15]  S. Konig,et al.  Ultraviolet extrapolations in finite oscillator bases , 2014, 1409.5997.

[16]  M. Hjorth-Jensen,et al.  Coupled-cluster computations of atomic nuclei , 2013, Reports on progress in physics. Physical Society.

[17]  R. Furnstahl,et al.  Systematic expansion for infrared oscillator basis extrapolations , 2013, 1312.6876.

[18]  Alán Aspuru-Guzik,et al.  A variational eigenvalue solver on a photonic quantum processor , 2013, Nature Communications.

[19]  R. Furnstahl,et al.  Universal properties of infrared oscillator basis extrapolations , 2013, 1302.3815.

[20]  M. Kortelainen,et al.  The limits of the nuclear landscape , 2012, Nature.

[21]  Isaac L. Chuang,et al.  Quantum Computation and Quantum Information (10th Anniversary edition) , 2011 .

[22]  B. Lanyon,et al.  Towards quantum chemistry on a quantum computer. , 2009, Nature chemistry.

[23]  S. Quaglioni,et al.  Recent developments in no-core shell-model calculations , 2009, 0904.0463.

[24]  Dean Lee.  Lattice simulations for few- and many-body systems , 2008, 0804.3501.

[25]  John D. Hunter,et al.  Matplotlib: A 2D Graphics Environment , 2007, Computing in Science & Engineering.

[26]  R. Bartlett,et al.  Coupled-cluster theory in quantum chemistry , 2007 .

[27]  M. Head‐Gordon,et al.  Simulated Quantum Computation of Molecular Energies , 2005, Science.

[28]  M. Troyer,et al.  Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations , 2004, Physical review letters.

[29]  F. Nowacki,et al.  The shell model as a unified view of nuclear structure , 2004, nucl-th/0402046.

[30]  P. Bedaque,et al.  EFFECTIVE FIELD THEORY FOR FEW-NUCLEON SYSTEMS* , 2002, nucl-th/0203055.

[31]  Petr Navratil,et al.  The Ab Initio No-core Shell Model , 2001, 0902.3510.

[32]  U. V. Kolck.  Effective field theory of nuclear forces , 1999, nucl-th/9902015.

[33]  M. Wise,et al.  A New expansion for nucleon-nucleon interactions , 1998, nucl-th/9801034.

[34]  S. Koonin,et al.  Shell model Monte Carlo methods , 1996, nucl-th/9602006.

[35]  M. Lüscher,et al.  Volume dependence of the energy spectrum in massive quantum field theories , 1986 .

[36]  M. Lüscher.  Volume dependence of the energy spectrum in massive quantum field theories , 1986 .

[37]  W. Marsden.  I and J , 2012 .