Demonstration of a general fault-tolerant quantum error detection code
  for (2n+1)-qubit entangled state on IBM 16-qubit quantum computer
Quantum error detection has always been a fundamental challenge in a
fault-tolerant quantum computer. Hence, it is of immense importance to detect
and deal with arbitrary errors to efficiently perform quantum computation.
Several error detection codes have been proposed and realized for lower number
of qubit systems. Here we present an error detection code for a (2n+1)-qubit
entangled state using two syndrome qubits and simulate it on IBM's 16-qubit
quantum computer for a 13-qubit entangled system. The code is able to detect an
arbitrary quantum error in any one of the first 2n qubits of the (2n+1)-qubit
entangled state and detects any bit-flip error on the last qubit of the
(2n+1)-qubit entangled state via measurements on a pair of ancillary error
syndrome qubits. The protocol presented here paves the way for designing error
detection codes for the general higher number of entangled qubit systems.
Ranveer Kumar Singh Bishvanwesha Panda Bikash K. Behera Prasanta K. Panigrahi