Demonstration of a General Fault-Tolerant Quantum Error Detection Code for (2n + 1)-Qubit Entangled State on IBM 16-Qubit Quantum Computer

Introduction

 Quantum computing holds immense promise, but one of the significant hurdles in its advancement is ensuring fault tolerance. Quantum systems are exceptionally sensitive to external disturbances, leading to errors that can disrupt computations. Therefore, developing robust quantum error detection and correction codes is crucial for realizing practical and reliable quantum computers.

Quantum Error Detection

Quantum error detection is pivotal in a fault-tolerant quantum computer. Errors in quantum systems can arise from various sources, such as decoherence, gate errors, and operational imperfections. Efficiently detecting and dealing with these errors is essential to perform accurate quantum computations. While several error detection codes have been proposed and realized for systems with a lower number of qubits, scaling these codes to larger systems remains a challenge.

The Research Focus

In this research, we present a novel error detection code for a (2n + 1)-qubit entangled state using two syndrome qubits. The study was conducted on IBM's 16-qubit quantum computer, where the error detection code was simulated for a 13-qubit entangled system. The primary goal was to demonstrate the effectiveness of the proposed code in detecting arbitrary quantum errors in any one of the first 2n qubits and bit-flip errors on the last qubit of the entangled state.

Methodology

Entangled State and Error Detection

The research focuses on a (2n + 1)-qubit entangled state, where n is an integer. The error detection code involves:

  1. Syndrome Qubits: Two ancillary qubits are used as syndrome qubits to detect errors.
  2. Error Detection Mechanism: The code detects arbitrary quantum errors in the first 2n qubits of the entangled state. Additionally, it identifies any bit-flip error on the last qubit by performing measurements on the syndrome qubits.

Quantum Simulation

The error detection protocol was simulated on the IBM 16-qubit quantum computer. The 13-qubit entangled system was chosen for the simulation, aligning with the (2n + 1) formula where n=6. The simulation aimed to validate the error detection code's ability to identify and isolate errors effectively.

Results and Analysis

The simulation results on the IBM 16-qubit quantum computer demonstrated that the proposed error detection code successfully identified arbitrary quantum errors in the first 12 qubits and bit-flip errors on the last qubit. The use of syndrome qubits was crucial in detecting these errors, showcasing the potential for scaling this method to larger qubit systems.

Implications and Future Directions

The successful demonstration of this error detection code for a (2n + 1)-qubit entangled state opens new avenues for designing robust error detection mechanisms for larger quantum systems. This protocol can be generalized and adapted for higher numbers of entangled qubits, paving the way for more complex and fault-tolerant quantum computations.

Conclusion

The development and demonstration of a general fault-tolerant quantum error detection code for (2n + 1)-qubit entangled states represent a significant step forward in quantum computing. By effectively detecting arbitrary quantum errors and bit-flip errors, this research contributes to the ongoing efforts to create reliable and scalable quantum computers.

For more details, you can access the full research here.

Tags

#QuantumComputing #QuantumErrorDetection #FaultTolerantQuantumComputing #EntangledQubits #IBMQuantumComputer #QuantumResearch #QuantumPhysics #Qubits #QuantumSimulation #QuantumTechnology #ScientificResearch #QuantumAlgorithms

Read more here: https://bqblogs.blogspot.com/

Bikash's Quantum: https://sites.google.com/view/bikashsquantum

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