Investigation of quantum pigeonhole effect in IBM quantum computer
Quantum pigeonhole principle states that if there are three pigeons and two
boxes then there are instances where no two pigeons are in the same box which
seems to defy classical pigeonhole counting principle. Here, we investigate the
quantum pigeonhole effect on the ibmqx2 superconducting chip with five physical
qubits. We also observe the same effect in a proposed non-local circuit which
avoid any direct physical interactions between the qubits which may lead to
some unknown local effects. We use the standard quantum gate operations and
measurement to construct the required quantum circuits on IBM quantum
experience platform. We perform the experiment and simulation which illustrates
the fact that no two qubits (pigeons) are in the same quantum state (boxes).
The experimental results obtained using IBM quantum computer are in good
agreement with theoretical predictions.
Narendra N. Hegade Antariksha Das Swarnadeep Seth Prasanta K. Panigrahi