Experimental Communication Through Superposition of Quantum Channels

Arthur O. T. Pang1, Noah Lupu-Gladstein1, Hugo Ferretti1, Y. Batuhan Yilmaz1, Aharon Brodutch1,2, and Aephraim M. Steinberg1,3

1Department of Physics and Centre for Quantum Information Quantum Control University of Toronto, 60 St George St, Toronto, Ontario, M5S 1A7, Canada
2IonQ Canada Inc. 2300 Yonge St, Toronto ON, M4P 1E4
3Canadian Institute for Advanced Research, Toronto, Ontario, M5G 1M1, Canada

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Information capacity enhancement through the coherent control of channels has attracted much attention of late, with work exploring the effect of coherent control of channel causal orders, channel superpositions, and information encoding. Coherently controlling channels necessitates a non-trivial expansion of the channel description, which for superposing qubit channels, is equivalent to expanding the channel to act on qutrits. Here we explore the nature of this capacity enhancement for the superposition of channels by comparing the maximum coherent information through depolarizing qubit channels and relevant superposed and qutrit channels. We show that the expanded qutrit channel description in itself is sufficient to explain the capacity enhancement without any use of superposition.

Quantum control of communication channels can result in an unexpected increase in channel capacity. In this paper, we experimentally superpose two zero-capacity qubit channels, in which a qubit controls which channel the information is transmitted through. We show here that not transmitting information through a particular channel is also a degree of freedom that can transmit information. Superposing channels is one way to use this degree of freedom to transmit information. In this paper, we discuss the conditions where this extra degree of freedom can assist in the transmission of information and the nature of the channel resulting from the superposition.

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[1] Daniel Ebler, Sina Salek, and Giulio Chiribella. ``Enhanced communication with the assistance of indefinite causal order''. Physical Review Letters 120 (2018).

[2] Giulio Chiribella, Giacomo Mauro D'Ariano, Paolo Perinotti, and Benoit Valiron. ``Quantum computations without definite causal structure''. Physical Review A - Atomic, Molecular, and Optical Physics 88 (2013).

[3] Márcio M. Taddei, Jaime Cariñe, Daniel Martínez, Tania García, Nayda Guerrero, Alastair A. Abbott, Mateus Araújo, Cyril Branciard, Esteban S. Gómez, Stephen P. Walborn, Leandro Aolita, and Gustavo Lima. ``Computational advantage from the quantum superposition of multiple temporal orders of photonic gates''. PRX Quantum 2 (2021).

[4] K. Goswami, Y. Cao, G. A. Paz-Silva, J. Romero, and A. G. White. ``Increasing communication capacity via superposition of order''. Physical Review Research 2 (2020).

[5] Giulia Rubino, Lee A. Rozema, Adrien Feix, Mateus Araújo, Jonas M. Zeuner, Lorenzo M. Procopio, Časlav Brukner, and Philip Walther. ``Experimental verification of an indefinite causal order''. Science Advances 3 (2017).

[6] Yu Guo, Xiao Min Hu, Zhi Bo Hou, Huan Cao, Jin Ming Cui, Bi Heng Liu, Yun Feng Huang, Chuan Feng Li, Guang Can Guo, and Giulio Chiribella. ``Experimental transmission of quantum information using a superposition of causal orders''. Physical Review Letters 124 (2020).

[7] Lorenzo M. Procopio, Amir Moqanaki, Mateus Araújo, Fabio Costa, Irati Alonso Calafell, Emma G. Dowd, Deny R. Hamel, Lee A. Rozema, Časlav Brukner, and Philip Walther. ``Experimental superposition of orders of quantum gates''. Nature Communications 6 (2015).

[8] Giulia Rubino, Lee A. Rozema, Daniel Ebler, Hlér Kristjánsson, Sina Salek, Philippe Allard Guérin, Alastair A. Abbott, Cyril Branciard, Časlav Brukner, Giulio Chiribella, and Philip Walther. ``Experimental quantum communication enhancement by superposing trajectories''. Physical Review Research 3 (2021).

[9] Lorenzo M. Procopio, Francisco Delgado, Marco Enríquez, Nadia Belabas, and Juan Ariel Levenson. ``Communication enhancement through quantum coherent control of n channels in an indefinite causal-order scenario''. Entropy 21 (2019).

[10] Lorenzo M. Procopio, Francisco Delgado, Marco Enríquez, Nadia Belabas, and Juan Ariel Levenson. ``Sending classical information via three noisy channels in superposition of causal orders''. Physical Review A 101 (2020).

[11] Giulio Chiribella and Hlér Kristjánsson. ``Quantum shannon theory with superpositions of trajectories''. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475 (2019).

[12] Giulio Chiribella, Manik Banik, Some Sankar Bhattacharya, Tamal Guha, Mir Alimuddin, Arup Roy, Sutapa Saha, Sristy Agrawal, and Guruprasad Kar. ``Indefinite causal order enables perfect quantum communication with zero capacity channels''. New Journal of Physics 23 (2021).

[13] Giulio Chiribella, Matt Wilson, and H. F. Chau. ``Quantum and classical data transmission through completely depolarizing channels in a superposition of cyclic orders''. Physical Review Letters 127 (2021).

[14] Sk Sazim, Michal Sedlak, Kratveer Singh, and Arun Kumar Pati. ``Classical communication with indefinite causal order for n completely depolarizing channels''. Physical Review A 103 (2021).

[15] N. Gisin, N. Linden, S. Massar, and S. Popescu. ``Error filtration and entanglement purification for quantum communication''. Physical Review A - Atomic, Molecular, and Optical Physics 72 (2005).

[16] Daniel K.L. Oi. ``Interference of quantum channels''. Physical Review Letters 91 (2003).

[17] Alastair A. Abbott, Julian Wechs, Dominic Horsman, Mehdi Mhalla, and Cyril Branciard. ``Communication through coherent control of quantum channels''. Quantum 4 (2020).

[18] Philippe Allard Guérin, Giulia Rubino, and Časlav Brukner. ``Communication through quantum-controlled noise''. Physical Review A 99 (2019).

[19] Francesco Massa, Amir Moqanaki, Ämin Baumeler, Flavio Del Santo, Joshua A. Kettlewell, Borivoje Dakić, and Philip Walther. ``Experimental two-way communication with one photon''. Advanced Quantum Technologies 2 (2019).

[20] Flavio Del Santo and Borivoje Dakić. ``Two-way communication with a single quantum particle''. Physical Review Letters 120, 1–5 (2018).

[21] Mateus Araújo, Adrien Feix, Fabio Costa, and Časlav Brukner. ``Quantum circuits cannot control unknown operations''. New Journal of Physics 16 (2014).

[22] Teiko Heinosaari and Takayuki Miyadera. ``Incompatibility of quantum channels''. Journal of Physics A: Mathematical and Theoretical 50 (2017).

[23] Cristhiano Duarte, Lorenzo Catani, and Raphael C. Drumond. ``Relating compatibility and divisibility of quantum channels''. International Journal of Theoretical Physics 61 (2022).

[24] John Watrous. ``The theory of quantum information''. Chapter 8. Cambridge University Press. (2018).

Cited by

[1] Michael Antesberger, Marco Túlio Quintino, Philip Walther, and Lee A. Rozema, "Higher-order Process Matrix Tomography of a passively-stable Quantum SWITCH", arXiv:2305.19386, (2023).

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