Improving the fidelity of teleportation through correlated amplitude damping decoherence using parity-time symmetric operation

Abstract Quantum teleportation fidelity is severely degraded by environmental noise, especially correlated amplitude damping (CAD) decoherence with non-negligible memory effects, which is more practical in high-rate transmission. This paper investigates enhancing teleportation fidelity under CAD noise using parity-time ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mrow> <mml:mi class="MJX-tex-calligraphic">PT</mml:mi> </mml:mrow> </mml:mrow> </mml:math> ) symmetric operation, we first analyze teleportation dynamics under CAD, showing its average fidelity outperforms uncorrelated amplitude damping. Moreover, we show that the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mrow> <mml:mi class="MJX-tex-calligraphic">PT</mml:mi> </mml:mrow> </mml:mrow> </mml:math> symmetric operation could drastically enhance the fidelity in CAD noise. Results demonstrate <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mrow> <mml:mi class="MJX-tex-calligraphic">PT</mml:mi> </mml:mrow> </mml:mrow> </mml:math> symmetric operation significantly boost average fidelity, which remains above the classical limit of 2/3. Optimized via adjusting non-Hermitian parameters, the fidelity can even reach 1. Our results extend the ability of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mrow> <mml:mi class="MJX-tex-calligraphic">PT</mml:mi> </mml:mrow> </mml:mrow> </mml:math> symmetric operation as a technique in various quantum information processes which are affected by correlated noise.