<p>Perfect quantum teleportation relies on a maximally entangled channel shared between two users. However, inherent decoherence effects make this idea difficult to achieve in practice. Specifically, dephasing causes phase randomization, leading to information loss and reduced fidelity in quantum teleportation. This study examines the impact of dephasing on bidirectional quantum teleportation (BQT) by analyzing the average fidelity of BQT under different environmental conditions. Results show that the average fidelity remains above the classical limit of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10773_2025_5889_Article_IEq1.gif" Format="GIF" Height="22" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">$\frac{2}{3}$</EquationSource> <EquationSource Format="MATHML"><math> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </math></EquationSource> </InlineEquation> for various bath spectral densities like (sub-ohmic (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10773_2025_5889_Article_IEq2.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="40" /> </InlineMediaObject> <EquationSource Format="TEX">$s < 1 $</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>s</mi> <mo><</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation> ), ohmic ( <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10773_2025_5889_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="40" /> </InlineMediaObject> <EquationSource Format="TEX">$s = 1 $</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>s</mi> <mo>=</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>), and super-ohmic (<InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10773_2025_5889_Article_IEq4.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="40" /> </InlineMediaObject> <EquationSource Format="TEX">$s > 1 $</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>s</mi> <mo>></mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>) ), as well as over a range of cutoff frequencies (<InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10773_2025_5889_Article_IEq5.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">$\omega _{c}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ω</mi> <mi>c</mi> </msub> </math></EquationSource> </InlineEquation>). In the sub-ohmic case, enhanced fidelity of BQT is observed. The dephasing effects on <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10773_2025_5889_Article_IEq6.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="60" /> </InlineMediaObject> <EquationSource Format="TEX">$ N \leftrightarrow N $</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <mo stretchy="false">↔</mo> <mi>N</mi> </mrow> </math></EquationSource> </InlineEquation> qubit BQT are also explored, with our analysis uniquely demonstrating that the intrinsic efficiency (<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10773_2025_5889_Article_IEq7.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">$ \eta $</EquationSource> <EquationSource Format="MATHML"><math> <mi>η</mi> </math></EquationSource> </InlineEquation>) can reach a maximum value of <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10773_2025_5889_Article_IEq8.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="31" /> </InlineMediaObject> <EquationSource Format="TEX">$ 50\% $</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>50</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> while minimizing resource consumption and complexity.</p>

Bidirectional Quantum Teleportation in Presence of Dephasing

期刊论文
发表日期：

2025年1月16日

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Javid Ahmad Malik,
Muzaffar Qadir Lone,
Prince A Ganai

摘要

Perfect quantum teleportation relies on a maximally entangled channel shared between two users. However, inherent decoherence effects make this idea difficult to achieve in practice. Specifically, dephasing causes phase randomization, leading to information loss and reduced fidelity in quantum teleportation. This study examines the impact of dephasing on bidirectional quantum teleportation (BQT) by analyzing the average fidelity of BQT under different environmental conditions. Results show that the average fidelity remains above the classical limit of $\frac{2}{3}$ $\frac{2}{3}$ for various bath spectral densities like (sub-ohmic ( $s < 1 $ $s < 1$ ), ohmic ( $s = 1 $ $s = 1$ ), and super-ohmic ( $s > 1 $ $s > 1$ ) ), as well as over a range of cutoff frequencies ( $\omega _{c}$ $ω_{c}$ ). In the sub-ohmic case, enhanced fidelity of BQT is observed. The dephasing effects on $ N \leftrightarrow N $ $N \leftrightarrow N$ qubit BQT are also explored, with our analysis uniquely demonstrating that the intrinsic efficiency ( $ \eta $ $η$ ) can reach a maximum value of $ 50\% $ $50 %$ while minimizing resource consumption and complexity.