Implementation of a quantum algorithm to estimate the energy of a particle in a finite square well potential on IBM quantum computer

@article{Shokri2021ImplementationOA,
  title={Implementation of a quantum algorithm to estimate the energy of a particle in a finite square well potential on IBM quantum computer},
  author={Sina Shokri and Shahnoosh Rafibakhsh and Roghayeh Pooshgan and Rita Faeghi},
  journal={The European Physical Journal Plus},
  year={2021}
}
In this paper, we implement a quantum algorithm -on IBM quantum devices, IBM QASM simulator and PPRC computer cluster -to find the energy values of the ground state and the first excited state of a particle in a finite square-well potential. We use the quantum phase estimation technique and the iterative one to execute the program on PPRC cluster and IBM devices, respectively. Our results obtained from executing the quantum circuits on the IBM classical devices show that our circuits succeed at… 

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References

SHOWING 1-10 OF 50 REFERENCES
Simulating quantum systems on a quantum computer
  • Christof Zalka
  • Physics
    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 1998
We show that the time evolution of the wave function of a quantum–mechanical many–particle system can be simulated precisely and efficiently on a quantum computer. The time needed for such a
Quantum simulation of the t-J model
TLDR
A method of simulating a model for high-temperature superconducting oxides, the t–J model, by optical control, as an example of such a quantum simulation, is presented.
Simulated Quantum Computation of Molecular Energies
TLDR
Calculations of the water and lithium hydride molecular ground-state energies have been carried out on a quantum computer simulator using a recursive phase-estimation algorithm and mapping of the molecular wave function to the quantum bits are described.
Quantum Algorithms for Quantum Field Theories
TLDR
A quantum algorithm to compute relativistic scattering probabilities in a massive quantum field theory with quartic self-interactions in spacetime of four and fewer dimensions is developed and achieves exponential speedup over the fastest known classical algorithm.
Calculation of \(\pi \) on the IBM quantum computer and the accuracy of one-qubit operations
A quantum algorithm for the calculation of $\pi$ is proposed and implemented on the five-qubit IBM quantum computer with superconducting qubits. We find $\pi=3.157\pm0.017$. The error is due to the
Towards quantum chemistry on a quantum computer.
TLDR
The application of the latest photonic quantum computer technology to calculate properties of the smallest molecular system: the hydrogen molecule in a minimal basis is reported and the complete energy spectrum is calculated to 20 bits of precision.
Digital quantum simulation of fermionic models with a superconducting circuit
TLDR
Digital methods are used to construct the required arbitrary interactions, and perform quantum simulation of up to four fermionic modes with a superconducting quantum circuit, and reach fidelities that are consistent with a simple model of uncorrelated errors.
Implementation of quantum secret sharing and quantum binary voting protocol in the IBM quantum computer
TLDR
A new quantum binary voting protocol is proposed and implemented in the 14-qubit ‘IBM Q 14 Melbourne’ quantum processor and the fidelity of states is calculated for different number of executions made in the device.
SIMULATING ISING SPIN GLASSES ON A QUANTUM COMPUTER
A linear-time algorithm is presented for the construction of the Gibbs distribution of configurations in the Ising model, on a quantum computer. The algorithm is designed so that each run provides
Designing quantum router in IBM quantum computer
TLDR
A new quantum circuit for designing quantum router is proposed by using IBM's five-qubit quantum computer and the entanglement between the control qubit and the two signal qubits is illustrated, and the well preservation of the signal information in either of the two paths after the routing process.
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