scholarly journals Simulation of Many-Body Fermi Systems on a Universal Quantum Computer

1997 ◽  
Vol 79 (13) ◽  
pp. 2586-2589 ◽  
Author(s):  
Daniel S. Abrams ◽  
Seth Lloyd
Keyword(s):  
Quantum Computer ◽  
Many Body ◽  
Fermi Systems ◽  
Universal Quantum

scholarly journals Simulating quantum many-body dynamics on a current digital quantum computer

2019 ◽  
Vol 5 (1) ◽  
Author(s):  
Adam Smith ◽  
M. S. Kim ◽  
Frank Pollmann ◽  
Johannes Knolle
Keyword(s):  
Quantum Dynamics ◽  
Quantum Computer ◽  
Quantum Computers ◽  
Many Body ◽  
Time Dynamics ◽  
Effects Of Disorder ◽  
Body Dynamics ◽  
Many Body Quantum Dynamics ◽  
Universal Quantum

AbstractUniversal quantum computers are potentially an ideal setting for simulating many-body quantum dynamics that is out of reach for classical digital computers. We use state-of-the-art IBM quantum computers to study paradigmatic examples of condensed matter physics—we simulate the effects of disorder and interactions on quantum particle transport, as well as correlation and entanglement spreading. Our benchmark results show that the quality of the current machines is below what is necessary for quantitatively accurate continuous-time dynamics of observables and reachable system sizes are small comparable to exact diagonalization. Despite this, we are successfully able to demonstrate clear qualitative behaviour associated with localization physics and many-body interaction effects.

scholarly journals Many-body hierarchy of dissipative timescales in a quantum computer

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
Oscar Emil Sommer ◽  
Francesco Piazza ◽  
David J. Luitz
Keyword(s):  
Quantum Computer ◽  
Many Body

scholarly journals Simulating molecules on a cloud-based 5-qubit IBM-Q universal quantum computer

2021 ◽  
Vol 4 (1) ◽  
Author(s):  
S. Leontica ◽  
F. Tennie ◽  
T. Farrow
Keyword(s):  
Quantum System ◽  
Energy Transport ◽  
Quantum Computer ◽  
Complex Molecule ◽  
Dissipative System ◽  
Quantum Simulation ◽  
Quantum Systems ◽  
Molecular Structures ◽  
Unitary Evolution ◽  
Universal Quantum

AbstractSimulating the behaviour of complex quantum systems is impossible on classical supercomputers due to the exponential scaling of the number of quantum states with the number of particles in the simulated system. Quantum computers aim to break through this limit by using one quantum system to simulate another quantum system. Although in their infancy, they are a promising tool for applied fields seeking to simulate quantum interactions in complex atomic and molecular structures. Here, we show an efficient technique for transpiling the unitary evolution of quantum systems into the language of universal quantum computation using the IBM quantum computer and show that it is a viable tool for compiling near-term quantum simulation algorithms. We develop code that decomposes arbitrary 3-qubit gates and implement it in a quantum simulation first for a linear ordered chain to highlight the generality of the approach, and second, for a complex molecule. We choose the Fenna-Matthews-Olsen (FMO) photosynthetic protein because it has a well characterised Hamiltonian and presents a complex dissipative system coupled to a noisy environment that helps to improve the efficiency of energy transport. The method can be implemented in a broad range of molecular and other simulation settings.

scholarly journals An Identity-Based Blind Signature Scheme Using Lattice with Provable Security

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Quanrun Li ◽  
Chingfang Hsu ◽  
Debiao He ◽  
Kim-Kwang Raymond Choo ◽  
Peng Gong
Keyword(s):  
Quantum Computer ◽  
Rapid Development ◽  
Random Oracle Model ◽  
Random Oracle ◽  
Mean Value ◽  
Blind Signature ◽  
Signature Scheme ◽  
Practical Applications ◽  
Universal Quantum ◽  
Identity Based

With the rapid development of quantum computing and quantum information technology, the universal quantum computer will emerge in the near decades with a very high probability and it could break most of the current public key cryptosystems totally. Due to the ability of withstanding the universal quantum computer’s attack, the lattice-based cryptosystems have received lots of attention from both industry and academia. In this paper, we propose an identity-based blind signature scheme using lattice. We also prove that the proposed scheme is provably secure in the random oracle model. The performance analysis shows that the proposed scheme has less mean value of sampling times and smaller signature size than previous schemes. Thus, the proposed scheme is more suitable for practical applications.

scholarly journals Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications

2019 ◽  
Vol 10 (1) ◽  
pp. 337-356 ◽  
Author(s):  
Zi-Xiang Li ◽  
Hong Yao
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Hot Spot ◽  
High Temperature Superconductors ◽  
System Size ◽  
Many Body ◽  
Broken Symmetries ◽  
Sign Problem ◽  
Universal Quantum ◽  
Many Body Systems

Reliable simulations of correlated quantum systems, including high-temperature superconductors and frustrated magnets, are increasingly desired nowadays to further our understanding of essential features in such systems. Quantum Monte Carlo (QMC) is a unique numerically exact and intrinsically unbiased method to simulate interacting quantum many-body systems. More importantly, when QMC simulations are free from the notorious fermion sign problem, they can reliably simulate interacting quantum models with large system size and low temperature to reveal low-energy physics such as spontaneously broken symmetries and universal quantum critical behaviors. Here, we concisely review recent progress made in developing new sign-problem-free QMC algorithms, including those employing Majorana representation and those utilizing hot-spot physics. We also discuss applications of these novel sign-problem-free QMC algorithms in simulations of various interesting quantum many-body models. Finally, we discuss possible future directions of designing sign-problem-free QMC methods.

scholarly journals 16-qubit IBM universal quantum computer can be fully entangled

2018 ◽  
Vol 4 (1) ◽  
Author(s):  
Yuanhao Wang ◽  
Ying Li ◽  
Zhang-qi Yin ◽  
Bei Zeng
Keyword(s):  
Quantum Computer ◽  
Universal Quantum
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