Onset of superactivation of quantum capacity

Summarize this article with:
Quantum Physics arXiv:2604.27042 (quant-ph) [Submitted on 29 Apr 2026] Title:Onset of superactivation of quantum capacity Authors:Marco Parentin, Bjarne Bergh, Nilanjana Datta, Mark M. Wilde View a PDF of the paper titled Onset of superactivation of quantum capacity, by Marco Parentin and 3 other authors View PDF HTML (experimental) Abstract:Superactivation of quantum capacity is the phenomenon whereby two quantum channels, each with zero quantum capacity, can exhibit a strictly positive capacity when used in tandem. In this work, we explore superactivation in the previously unexplored non-asymptotic regime of finitely many channel uses. We give a definition of finite-blocklength superactivation and propose numerical methods that can certify it. Then, focusing on the 50% erasure and positive-partial-transpose channels considered in the original work on superactivation, we show that as few as 17 uses of the joint channel already enable qubit transmission with a fidelity unattainable by any number of uses of either channel alone, demonstrating a strong finite-blocklength form of superactivation and opening the door to experimental demonstration. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.27042 [quant-ph] (or arXiv:2604.27042v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.27042 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Bjarne Bergh [view email] [v1] Wed, 29 Apr 2026 17:26:48 UTC (34,439 KB) Full-text links: Access Paper: View a PDF of the paper titled Onset of superactivation of quantum capacity, by Marco Parentin and 3 other authorsView PDFHTML (experimental)TeX Source view license Ancillary-file links: Ancillary files (details): bob_pov_0_block_0.npy bob_pov_0_block_1.npy bob_pov_0_block_2.npy bob_pov_0_block_3.npy bob_pov_0_block_4.npy bob_pov_0_block_5.npy bob_pov_0_block_6.npy bob_pov_0_block_7.npy bob_pov_0_block_8.npy bob_pov_10_block_0.npy bob_pov_10_block_1.npy bob_pov_10_block_10.npy bob_pov_10_block_11.npy bob_pov_10_block_12.npy bob_pov_10_block_13.npy bob_pov_10_block_14.npy bob_pov_10_block_15.npy bob_pov_10_block_16.npy bob_pov_10_block_17.npy bob_pov_10_block_18.npy bob_pov_10_block_19.npy bob_pov_10_block_2.npy bob_pov_10_block_20.npy bob_pov_10_block_21.npy bob_pov_10_block_22.npy bob_pov_10_block_23.npy bob_pov_10_block_3.npy bob_pov_10_block_4.npy bob_pov_10_block_5.npy bob_pov_10_block_6.npy bob_pov_10_block_7.npy bob_pov_10_block_8.npy bob_pov_10_block_9.npy bob_pov_11_block_0.npy bob_pov_11_block_1.npy bob_pov_11_block_10.npy bob_pov_11_block_11.npy bob_pov_11_block_12.npy bob_pov_11_block_13.npy bob_pov_11_block_14.npy bob_pov_11_block_15.npy bob_pov_11_block_16.npy bob_pov_11_block_17.npy bob_pov_11_block_18.npy bob_pov_11_block_19.npy bob_pov_11_block_2.npy bob_pov_11_block_20.npy bob_pov_11_block_21.npy bob_pov_11_block_22.npy bob_pov_11_block_23.npy bob_pov_11_block_3.npy bob_pov_11_block_4.npy bob_pov_11_block_5.npy bob_pov_11_block_6.npy bob_pov_11_block_7.npy bob_pov_11_block_8.npy bob_pov_11_block_9.npy bob_pov_12_block_0.npy bob_pov_12_block_1.npy bob_pov_12_block_10.npy bob_pov_12_block_11.npy bob_pov_12_block_12.npy bob_pov_12_block_13.npy bob_pov_12_block_14.npy bob_pov_12_block_15.npy bob_pov_12_block_16.npy bob_pov_12_block_17.npy bob_pov_12_block_18.npy bob_pov_12_block_19.npy bob_pov_12_block_2.npy bob_pov_12_block_20.npy bob_pov_12_block_3.npy bob_pov_12_block_4.npy bob_pov_12_block_5.npy bob_pov_12_block_6.npy bob_pov_12_block_7.npy bob_pov_12_block_8.npy bob_pov_12_block_9.npy bob_pov_13_block_0.npy bob_pov_13_block_1.npy bob_pov_13_block_10.npy bob_pov_13_block_11.npy bob_pov_13_block_12.npy bob_pov_13_block_13.npy bob_pov_13_block_14.npy bob_pov_13_block_15.npy bob_pov_13_block_16.npy bob_pov_13_block_17.npy bob_pov_13_block_18.npy bob_pov_13_block_19.npy bob_pov_13_block_2.npy bob_pov_13_block_20.npy bob_pov_13_block_3.npy bob_pov_13_block_4.npy bob_pov_13_block_5.npy bob_pov_13_block_6.npy bob_pov_13_block_7.npy bob_pov_13_block_8.npy bob_pov_13_block_9.npy bob_pov_14_block_0.npy bob_pov_14_block_1.npy bob_pov_14_block_10.npy bob_pov_14_block_11.npy bob_pov_14_block_12.npy bob_pov_14_block_13.npy bob_pov_14_block_14.npy bob_pov_14_block_15.npy bob_pov_14_block_2.npy bob_pov_14_block_3.npy bob_pov_14_block_4.npy bob_pov_14_block_5.npy bob_pov_14_block_6.npy bob_pov_14_block_7.npy bob_pov_14_block_8.npy bob_pov_14_block_9.npy bob_pov_15_block_0.npy bob_pov_15_block_1.npy bob_pov_15_block_10.npy bob_pov_15_block_11.npy bob_pov_15_block_12.npy bob_pov_15_block_13.npy bob_pov_15_block_14.npy bob_pov_15_block_15.npy bob_pov_15_block_2.npy bob_pov_15_block_3.npy bob_pov_15_block_4.npy bob_pov_15_block_5.npy bob_pov_15_block_6.npy bob_pov_15_block_7.npy bob_pov_15_block_8.npy bob_pov_15_block_9.npy bob_pov_16_block_0.npy bob_pov_16_block_1.npy bob_pov_16_block_2.npy bob_pov_16_block_3.npy bob_pov_16_block_4.npy bob_pov_16_block_5.npy bob_pov_16_block_6.npy bob_pov_16_block_7.npy bob_pov_16_block_8.npy bob_pov_17_block_0.npy bob_pov_17_block_1.npy bob_pov_17_block_2.npy bob_pov_17_block_3.npy bob_pov_17_block_4.npy bob_pov_17_block_5.npy bob_pov_17_block_6.npy bob_pov_17_block_7.npy bob_pov_17_block_8.npy bob_pov_1_block_0.npy bob_pov_1_block_1.npy bob_pov_1_block_2.npy bob_pov_1_block_3.npy bob_pov_1_block_4.npy bob_pov_1_block_5.npy bob_pov_1_block_6.npy bob_pov_1_block_7.npy bob_pov_1_block_8.npy bob_pov_2_block_0.npy bob_pov_2_block_1.npy bob_pov_2_block_10.npy bob_pov_2_block_11.npy bob_pov_2_block_12.npy bob_pov_2_block_13.npy bob_pov_2_block_14.npy bob_pov_2_block_15.npy bob_pov_2_block_2.npy bob_pov_2_block_3.npy bob_pov_2_block_4.npy bob_pov_2_block_5.npy bob_pov_2_block_6.npy bob_pov_2_block_7.npy bob_pov_2_block_8.npy bob_pov_2_block_9.npy bob_pov_3_block_0.npy bob_pov_3_block_1.npy bob_pov_3_block_10.npy bob_pov_3_block_11.npy bob_pov_3_block_12.npy bob_pov_3_block_13.npy bob_pov_3_block_14.npy bob_pov_3_block_15.npy bob_pov_3_block_2.npy bob_pov_3_block_3.npy bob_pov_3_block_4.npy bob_pov_3_block_5.npy bob_pov_3_block_6.npy bob_pov_3_block_7.npy bob_pov_3_block_8.npy bob_pov_3_block_9.npy bob_pov_4_block_0.npy bob_pov_4_block_1.npy bob_pov_4_block_10.npy bob_pov_4_block_11.npy bob_pov_4_block_12.npy bob_pov_4_block_13.npy bob_pov_4_block_14.npy bob_pov_4_block_15.npy bob_pov_4_block_16.npy bob_pov_4_block_17.npy bob_pov_4_block_18.npy bob_pov_4_block_19.npy bob_pov_4_block_2.npy bob_pov_4_block_20.npy bob_pov_4_block_3.npy bob_pov_4_block_4.npy bob_pov_4_block_5.npy bob_pov_4_block_6.npy bob_pov_4_block_7.npy bob_pov_4_block_8.npy bob_pov_4_block_9.npy bob_pov_5_block_0.npy bob_pov_5_block_1.npy bob_pov_5_block_10.npy bob_pov_5_block_11.npy bob_pov_5_block_12.npy bob_pov_5_block_13.npy bob_pov_5_block_14.npy bob_pov_5_block_15.npy bob_pov_5_block_16.npy bob_pov_5_block_17.npy bob_pov_5_block_18.npy bob_pov_5_block_19.npy bob_pov_5_block_2.npy bob_pov_5_block_20.npy bob_pov_5_block_3.npy bob_pov_5_block_4.npy bob_pov_5_block_5.npy bob_pov_5_block_6.npy bob_pov_5_block_7.npy bob_pov_5_block_8.npy bob_pov_5_block_9.npy bob_pov_6_block_0.npy bob_pov_6_block_1.npy bob_pov_6_block_10.npy bob_pov_6_block_11.npy bob_pov_6_block_12.npy bob_pov_6_block_13.npy bob_pov_6_block_14.npy bob_pov_6_block_15.npy bob_pov_6_block_16.npy bob_pov_6_block_17.npy bob_pov_6_block_18.npy bob_pov_6_block_19.npy bob_pov_6_block_2.npy bob_pov_6_block_20.npy bob_pov_6_block_21.npy bob_pov_6_block_22.npy bob_pov_6_block_23.npy bob_pov_6_block_3.npy bob_pov_6_block_4.npy bob_pov_6_block_5.npy bob_pov_6_block_6.npy bob_pov_6_block_7.npy bob_pov_6_block_8.npy bob_pov_6_block_9.npy bob_pov_7_block_0.npy bob_pov_7_block_1.npy bob_pov_7_block_10.npy bob_pov_7_block_11.npy bob_pov_7_block_12.npy bob_pov_7_block_13.npy bob_pov_7_block_14.npy bob_pov_7_block_15.npy bob_pov_7_block_16.npy bob_pov_7_block_17.npy bob_pov_7_block_18.npy bob_pov_7_block_19.npy bob_pov_7_block_2.npy bob_pov_7_block_20.npy bob_pov_7_block_21.npy bob_pov_7_block_22.npy bob_pov_7_block_23.npy bob_pov_7_block_3.npy bob_pov_7_block_4.npy bob_pov_7_block_5.npy bob_pov_7_block_6.npy bob_pov_7_block_7.npy bob_pov_7_block_8.npy bob_pov_7_block_9.npy bob_pov_8_block_0.npy bob_pov_8_block_1.npy bob_pov_8_block_10.npy bob_pov_8_block_11.npy bob_pov_8_block_12.npy bob_pov_8_block_13.npy bob_pov_8_block_14.npy bob_pov_8_block_15.npy bob_pov_8_block_16.npy bob_pov_8_block_17.npy bob_pov_8_block_18.npy bob_pov_8_block_19.npy bob_pov_8_block_2.npy bob_pov_8_block_20.npy bob_pov_8_block_21.npy bob_pov_8_block_22.npy bob_pov_8_block_23.npy bob_pov_8_block_24.npy bob_pov_8_block_3.npy bob_pov_8_block_4.npy bob_pov_8_block_5.npy bob_pov_8_block_6.npy bob_pov_8_block_7.npy bob_pov_8_block_8.npy bob_pov_8_block_9.npy bob_pov_9_block_0.npy bob_pov_9_block_1.npy bob_pov_9_block_10.npy bob_pov_9_block_11.npy bob_pov_9_block_12.npy bob_pov_9_block_13.npy bob_pov_9_block_14.npy bob_pov_9_block_15.npy bob_pov_9_block_16.npy bob_pov_9_block_17.npy bob_pov_9_block_18.npy bob_pov_9_block_19.npy bob_pov_9_block_2.npy bob_pov_9_block_20.npy bob_pov_9_block_21.npy bob_pov_9_block_22.npy bob_pov_9_block_23.npy bob_pov_9_block_24.npy bob_pov_9_block_3.npy bob_pov_9_block_4.npy bob_pov_9_block_5.npy bob_pov_9_block_6.npy bob_pov_9_block_7.npy bob_pov_9_block_8.npy bob_pov_9_block_9.npy decoder_0_block_0.npy decoder_0_block_1.npy decoder_0_block_2.npy decoder_0_block_3.npy decoder_0_block_4.npy decoder_0_block_5.npy decoder_0_block_6.npy decoder_0_block_7.npy decoder_0_block_8.npy decoder_10_block_0.npy decoder_10_block_1.npy decoder_10_block_10.npy decoder_10_block_11.npy decoder_10_block_12.npy decoder_10_block_13.npy decoder_10_block_14.npy decoder_10_block_15.npy decoder_10_block_16.npy decoder_10_block_17.npy decoder_10_block_18.npy decoder_10_block_19.npy decoder_10_block_2.npy decoder_10_block_20.npy decoder_10_block_21.npy decoder_10_block_22.npy decoder_10_block_23.npy decoder_10_block_3.npy decoder_10_block_4.npy decoder_10_block_5.npy decoder_10_block_6.npy decoder_10_block_7.npy decoder_10_block_8.npy decoder_10_block_9.npy decoder_11_block_0.npy decoder_11_block_1.npy decoder_11_block_10.npy decoder_11_block_11.npy decoder_11_block_12.npy decoder_11_block_13.npy decoder_11_block_14.npy decoder_11_block_15.npy decoder_11_block_16.npy decoder_11_block_17.npy decoder_11_block_18.npy decoder_11_block_19.npy decoder_11_block_2.npy decoder_11_block_20.npy decoder_11_block_21.npy decoder_11_block_22.npy decoder_11_block_23.npy decoder_11_block_3.npy decoder_11_block_4.npy decoder_11_block_5.npy decoder_11_block_6.npy decoder_11_block_7.npy decoder_11_block_8.npy decoder_11_block_9.npy decoder_12_block_0.npy decoder_12_block_1.npy decoder_12_block_10.npy decoder_12_block_11.npy decoder_12_block_12.npy decoder_12_block_13.npy decoder_12_block_14.npy decoder_12_block_15.npy decoder_12_block_16.npy decoder_12_block_17.npy decoder_12_block_18.npy decoder_12_block_19.npy decoder_12_block_2.npy decoder_12_block_20.npy decoder_12_block_3.npy decoder_12_block_4.npy decoder_12_block_5.npy decoder_12_block_6.npy decoder_12_block_7.npy decoder_12_block_8.npy decoder_12_block_9.npy decoder_13_block_0.npy decoder_13_block_1.npy decoder_13_block_10.npy decoder_13_block_11.npy decoder_13_block_12.npy decoder_13_block_13.npy decoder_13_block_14.npy decoder_13_block_15.npy decoder_13_block_16.npy decoder_13_block_17.npy decoder_13_block_18.npy decoder_13_block_19.npy decoder_13_block_2.npy decoder_13_block_20.npy decoder_13_block_3.npy decoder_13_block_4.npy decoder_13_block_5.npy decoder_13_block_6.npy decoder_13_block_7.npy decoder_13_block_8.npy decoder_13_block_9.npy decoder_14_block_0.npy decoder_14_block_1.npy decoder_14_block_10.npy decoder_14_block_11.npy decoder_14_block_12.npy decoder_14_block_13.npy decoder_14_block_14.npy decoder_14_block_15.npy decoder_14_block_2.npy decoder_14_block_3.npy decoder_14_block_4.npy decoder_14_block_5.npy decoder_14_block_6.npy decoder_14_block_7.npy decoder_14_block_8.npy decoder_14_block_9.npy decoder_15_block_0.npy decoder_15_block_1.npy decoder_15_block_10.npy decoder_15_block_11.npy decoder_15_block_12.npy decoder_15_block_13.npy decoder_15_block_14.npy decoder_15_block_15.npy decoder_15_block_2.npy decoder_15_block_3.npy decoder_15_block_4.npy decoder_15_block_5.npy decoder_15_block_6.npy decoder_15_block_7.npy decoder_15_block_8.npy decoder_15_block_9.npy decoder_16_block_0.npy decoder_16_block_1.npy decoder_16_block_2.npy decoder_16_block_3.npy decoder_16_block_4.npy decoder_16_block_5.npy decoder_16_block_6.npy decoder_16_block_7.npy decoder_16_block_8.npy decoder_17_block_0.npy decoder_17_block_1.npy decoder_17_block_2.npy decoder_17_block_3.npy decoder_17_block_4.npy decoder_17_block_5.npy decoder_17_block_6.npy decoder_17_block_7.npy decoder_17_block_8.npy decoder_1_block_0.npy decoder_1_block_1.npy decoder_1_block_2.npy decoder_1_block_3.npy decoder_1_block_4.npy decoder_1_block_5.npy decoder_1_block_6.npy decoder_1_block_7.npy decoder_1_block_8.npy decoder_2_block_0.npy decoder_2_block_1.npy decoder_2_block_10.npy decoder_2_block_11.npy decoder_2_block_12.npy decoder_2_block_13.npy decoder_2_block_14.npy decoder_2_block_15.npy decoder_2_block_2.npy decoder_2_block_3.npy decoder_2_block_4.npy decoder_2_block_5.npy decoder_2_block_6.npy decoder_2_block_7.npy decoder_2_block_8.npy decoder_2_block_9.npy decoder_3_block_0.npy decoder_3_block_1.npy decoder_3_block_10.npy decoder_3_block_11.npy decoder_3_block_12.npy decoder_3_block_13.npy decoder_3_block_14.npy decoder_3_block_15.npy decoder_3_block_2.npy decoder_3_block_3.npy decoder_3_block_4.npy decoder_3_block_5.npy decoder_3_block_6.npy decoder_3_block_7.npy decoder_3_block_8.npy decoder_3_block_9.npy decoder_4_block_0.npy decoder_4_block_1.npy decoder_4_block_10.npy decoder_4_block_11.npy decoder_4_block_12.npy decoder_4_block_13.npy decoder_4_block_14.npy decoder_4_block_15.npy decoder_4_block_16.npy decoder_4_block_17.npy decoder_4_block_18.npy decoder_4_block_19.npy decoder_4_block_2.npy decoder_4_block_20.npy decoder_4_block_3.npy decoder_4_block_4.npy decoder_4_block_5.npy decoder_4_block_6.npy decoder_4_block_7.npy decoder_4_block_8.npy decoder_4_block_9.npy decoder_5_block_0.npy decoder_5_block_1.npy decoder_5_block_10.npy decoder_5_block_11.npy decoder_5_block_12.npy decoder_5_block_13.npy decoder_5_block_14.npy decoder_5_block_15.npy decoder_5_block_16.npy decoder_5_block_17.npy decoder_5_block_18.npy decoder_5_block_19.npy decoder_5_block_2.npy decoder_5_block_20.npy decoder_5_block_3.npy decoder_5_block_4.npy decoder_5_block_5.npy decoder_5_block_6.npy decoder_5_block_7.npy decoder_5_block_8.npy decoder_5_block_9.npy decoder_6_block_0.npy decoder_6_block_1.npy decoder_6_block_10.npy decoder_6_block_11.npy decoder_6_block_12.npy decoder_6_block_13.npy decoder_6_block_14.npy decoder_6_block_15.npy decoder_6_block_16.npy decoder_6_block_17.npy decoder_6_block_18.npy decoder_6_block_19.npy decoder_6_block_2.npy decoder_6_block_20.npy decoder_6_block_21.npy decoder_6_block_22.npy decoder_6_block_23.npy decoder_6_block_3.npy decoder_6_block_4.npy decoder_6_block_5.npy decoder_6_block_6.npy decoder_6_block_7.npy decoder_6_block_8.npy decoder_6_block_9.npy decoder_7_block_0.npy decoder_7_block_1.npy decoder_7_block_10.npy decoder_7_block_11.npy decoder_7_block_12.npy decoder_7_block_13.npy decoder_7_block_14.npy decoder_7_block_15.npy decoder_7_block_16.npy decoder_7_block_17.npy decoder_7_block_18.npy decoder_7_block_19.npy decoder_7_block_2.npy decoder_7_block_20.npy decoder_7_block_21.npy decoder_7_block_22.npy decoder_7_block_23.npy decoder_7_block_3.npy decoder_7_block_4.npy decoder_7_block_5.npy decoder_7_block_6.npy decoder_7_block_7.npy decoder_7_block_8.npy decoder_7_block_9.npy decoder_8_block_0.npy decoder_8_block_1.npy decoder_8_block_10.npy decoder_8_block_11.npy decoder_8_block_12.npy decoder_8_block_13.npy decoder_8_block_14.npy decoder_8_block_15.npy decoder_8_block_16.npy decoder_8_block_17.npy decoder_8_block_18.npy decoder_8_block_19.npy decoder_8_block_2.npy decoder_8_block_20.npy decoder_8_block_21.npy decoder_8_block_22.npy decoder_8_block_23.npy decoder_8_block_24.npy decoder_8_block_3.npy decoder_8_block_4.npy decoder_8_block_5.npy decoder_8_block_6.npy decoder_8_block_7.npy decoder_8_block_8.npy decoder_8_block_9.npy decoder_9_block_0.npy decoder_9_block_1.npy decoder_9_block_10.npy decoder_9_block_11.npy decoder_9_block_12.npy decoder_9_block_13.npy decoder_9_block_14.npy decoder_9_block_15.npy decoder_9_block_16.npy decoder_9_block_17.npy decoder_9_block_18.npy decoder_9_block_19.npy decoder_9_block_2.npy decoder_9_block_20.npy decoder_9_block_21.npy decoder_9_block_22.npy decoder_9_block_23.npy decoder_9_block_24.npy decoder_9_block_3.npy decoder_9_block_4.npy decoder_9_block_5.npy decoder_9_block_6.npy decoder_9_block_7.npy decoder_9_block_8.npy decoder_9_block_9.npy encoder_block_0.npy encoder_block_1.npy encoder_block_2.npy encoder_block_3.npy encoder_block_4.npy encoder_block_5.npy encoder_block_6.npy encoder_block_7.npy encoder_block_8.npy fidelity_seesaw.npy fidelity_verified.npy n.npy verify_results.py(668 additional files not shown) You must enabled JavaScript to view entire file list. Current browse context: quant-ph new | recent | 2026-04 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)
