Improved coherence time of a non-Hermitian qubit in a $\mathcal{PT}$-symmetric Environment

TL;DR

This paper demonstrates that non-Hermitian $PT$-symmetric environments can significantly extend the coherence time of qubits, offering a promising new approach to mitigate decoherence in quantum computing.

Contribution

It introduces a novel framework showing how $PT$-symmetry in both system and environment enhances qubit coherence times beyond traditional Hermitian methods.

Findings

Coherence times are significantly extended in $PT$-symmetric setups.

Greater environmental non-Hermiticity correlates with longer coherence.

$PT$-symmetry in environment and system is crucial for coherence enhancement.

Abstract

Quantum computing's potential for exponential speedup is fundamentally limited by decoherence, a phenomenon arising from environmental interactions. Non-Hermitian quantum mechanics, particularly $PT$-symmetric systems, offers a novel framework for extending coherence times. This study examines a qubit's coherence under non-Hermitian $PT$-symmetric dynamics, highlighting significantly enhanced coherence times compared to Hermitian setups. The effect is especially pronounced when both the system and environment exhibit $PT$-symmetry. Interestingly, greater environmental non-Hermiticity correlates with extended coherence, contrary to traditional expectations. These findings point to promising strategies for managing decoherence, which could significantly advance approaches to quantum information processing.