Hiai, F., Petz, D.: The proper formula for relative entropy and its asymptotics in quantum probability. Commun. Math. Phys. 143(1), 99–114 (1991)

Article  ADS  MathSciNet  Google Scholar 

Nussbaum, M., Szkola, A.: The chernoff lower bound for symmetric quantum hypothesis testing. Ann. Stat. 37, 08 (2006)

MathSciNet  Google Scholar 

Audenaert, K., Nussbaum, M., Szkola, A., Verstraete, F.: Asymptotic error rates in quantum hypothesis testing. Commun. Math. Phys. 279(1), 251–283 (2008)

Article  ADS  MathSciNet  Google Scholar 

Umegaki, H.: Conditional expectations in an operator algebra iv (entropy and information). Kodai Math. Seminar Rep. 14(2), 59–85 (1962)

Article  MathSciNet  Google Scholar 

Rényi, A.: On measures of entropy and information. In: Proceeding 4th Berkeley Symp. Math. Stat. Probab., vol. 1. University of California Press, Berkeley pp. 547–561 (1961)

Petz, D.: Quasi-entropies for states of a von neumann algebra. Publ. Res. Inst. Math. Sci. 21(4), 787–800 (1985)

Article  MathSciNet  Google Scholar 

Petz, D.: Quasi-entropies for finite quantum systems. Rep. Math. Phys. 23(1), 57–65 (1986)

Article  ADS  MathSciNet  Google Scholar 

Müller-Lennert, M., Dupuis, F., Szehr, O., Fehr, S., Tomamichel, M.: On quantum rényi entropies: a new generalization and some properties. J. Math. Phys. 54, 12 (2013)

Article  Google Scholar 

Wilde, M.M., Winter, A., Yang, D.: Strong converse for the classical capacity of entanglement-breaking and hadamard channels via a sandwiched rényi relative entropy. Commun. Math. Phys. 331, 593–622 (2014)

Article  ADS  Google Scholar 

Han, T.S.: Hypothesis testing with multiterminal data compression. IEEE Trans. Inf. Theory 33(6), 759–772 (1987)

Article  ADS  MathSciNet  Google Scholar 

Shalaby, H.M.H., Papamarcou, A.: Multiterminal detection with zero-rate data compression. IEEE Trans. Inf. Theory 38(2), 254–267 (1992)

Article  ADS  MathSciNet  Google Scholar 

Ahlswede, R., Gacs, P., Körner, J.: Bounds on conditional probabilities with applications in multi-user communication. Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete 34(2), 157–177 (1976)

Article  MathSciNet  Google Scholar 

Csiszár, I., Körner, J.: Information theory: coding theorems for discrete memoryless systems. Cambridge University Press, Cambridge (2011)

Book  Google Scholar 

Marton, K.: A simple proof of the blowing-up lemma (corresp.). IEEE Trans. Inf. Theory 32(3), 445–446 (1986)

Hayashi, M.: Optimal sequence of quantum measurements in the sense of stein’s lemma in quantum hypothesis testing. J. Phys. A: Math. Gen. 35(50), 10759 (2002)

Article  ADS  MathSciNet  Google Scholar 

Ahlswede, R., Csiszár, I.: Hypothesis testing with communication constraints. IEEE Trans. Inf. Theory 32(4), 533–542 (1986)

Article  ADS  MathSciNet  Google Scholar 

Shimokawa, H., Han, T.S., Amari, S.: Error bound of hypothesis testing with data compression, In: Proceeding IEEE International Symposium Information Theory (ISIT), Trondheim, Norway, Jun-Jul, pp. 114–114 (1994)

Watanabe, S.: On sub-optimality of random binning for distributed hypothesis testing, In: 2022 IEEE International Symposium Information Theory (ISIT), pp. 2708–2713 (2022)

Kochman, Y., Wang, L.: Improved random-binning exponent for distributed hypothesis testing, arXiv:2306.14499 [cs.IT] (2023)

Rahman, M.S., Wagner, A.B.: On the optimality of binning for distributed hypothesis testing. IEEE Trans. Inf. Theory 58(10), 6282–6303 (2012)

Article  ADS  MathSciNet  Google Scholar 

Hadar, U., Liu, J., Polyanskiy, Y., Shayevitz, O.: Error exponents in distributed hypothesis testing of correlations, In: Proceeding of IEEE International Symposium Infomation Theory (ISIT), Paris, France, Jul, pp. 2674–2678 (2019)

Kochman, Y.: An improved upper bound for distributed hypothesis testing, In: 2024: IEEE Int. Symp. Inf. Theory (ISIT) 2909–2914 (2024)

Tian, C., Chen, J.: Successive refinement for hypothesis testing and lossless one-helper problem. IEEE Trans. Inf. Theory 54(10), 4666–4681 (2008)

Article  ADS  MathSciNet  Google Scholar 

Xiang, Y., Kim, Y.H.: Interactive hypothesis testing against independence. In: Proceeding of IEEE International Symposium Information Theory (ISIT), Istanbul, Turkey, Nov, pp. 2840–2844 (2013)

Katz, G., Piantanida, P., Debbah, M.: Collaborative distributed hypothesis testing, arXiv:1604.01292 [cs.IT] (2016)

Sreekumar, S., Gündüz, D.: Distributed hypothesis testing over noisy channels. In: Proceeding of IEEE International Symposium Information Theory (ISIT), Aachen, Germany (2017)

Sreekumar, S., Gúndúz, D.: Strong converse for testing against independence over a noisy channel. In: Proceeding IEEE International Symposim Information Theory (ISIT), Los Angeles, CA, USA, Jun, pp. 1283–1288 (2020)

Sreekumar, S., Gündüz, D.: Distributed hypothesis testing over discrete memoryless channels. IEEE Trans. Inf. Theory 66(4), 2044–2066 (2020)

Article  ADS  MathSciNet  Google Scholar 

Salehkalaibar, S., Wigger, M.: Distributed hypothesis testing based on unequal-error protection codes. IEEE Trans. Inf. Theory 66(7), 4150–4182 (2020)

Article  ADS  MathSciNet  Google Scholar 

Zhao, W., Lai, L.: Distributed testing against independence with multiple terminals. In: Proceeding 52nd Annual Allerton Conference Communication Control Computation, Monticello, IL, USA, Sep.-Oct, pp. 1246–1251 (2014)

Wigger, M., Timo, R.: Testing against independence with multiple decision centers. In: Proceeding of International Conference Signal Proceeding Communication. Bangalore, India, June, pp. 1–5 (2016)

Zhao, W., Lai, L.: Distributed testing with cascaded encoders. IEEE Trans. Inf. Theory 64(11), 7339–7348 (2018)

Article  ADS  MathSciNet  Google Scholar 

Salehkalaibar, S., Wigger, M., Wang, L.: Hypothesis testing in multi-hop networks. IEEE Trans. Inf. Theory 65(7), 4411–4433 (2019)

Article  ADS  Google Scholar 

Escamilla, P., Wigger, M., Zaidi, A.: Distributed hypothesis testing: cooperation and concurrent detection. IEEE Trans. Inf. Theory 66(12), 7550–7564 (2020)

Article  ADS  MathSciNet  Google Scholar 

İnan, Y., Kayaalp, M., Sayed, A.H., Telatar, E.: A fundamental limit of distributed hypothesis testing under memoryless quantization, in IEEE International Conf. Commun., pp. 4824–4829 (2022)

Zaidi, A.: Rate-exponent region for a class of distributed hypothesis testing against conditional independence problems. IEEE Trans. Inf. Theory 69(2), 703–718 (2023)

Article  ADS  MathSciNet  Google Scholar 

Hamad, M., Wigger, M., Sarkiss, M.: Multi-hop network with multiple decision centers under expected-rate constraints. IEEE Trans. Inf. Theory 69(7), 4255–4283 (2023)

Article  ADS  MathSciNet  Google Scholar 

Han, T.S., Kobayashi, K.: Exponential-type error probabilities for multiterminal hypothesis testing. IEEE Trans. Inf. Theory 35(1), 2–14 (1989)

Article  ADS  MathSciNet  Google Scholar 

Han, T.S., Amari, S.: Statistical inference under multiterminal data compression. IEEE Trans. Inf. Theory 44(6), 2300–2324 (1998)

Article  ADS  MathSciNet  Google Scholar 

Zhao, W., Lai, L.: Distributed testing with zero-rate compression. In: 2015 IEEE International Symposium on Information Theory (ISIT), pp. 2792–2796 (2015)

Haim, E., Kochman, Y.: Binary distributed hypothesis testing via Körner-Marton coding. in: 2016 IEEE Information Theory Workshop (ITW), pp. 146–150 (2016)

Watanabe, S.: Neyman-pearson test for zero-rate multiterminal hypothesis testing. IEEE Trans. Inf. Theory 64(7), 4923–4939 (2018)

Article  ADS  MathSciNet  Google Scholar 

Weinberger, N., Kochman, Y.: On the reliability function of distributed hypothesis testing under optimal detection. IEEE Trans. Inf. Theory 65(8), 4940–4965 (2019)

Article  ADS  MathSciNet  Google Scholar 

Weinberger, N., Kochman, Y., Wigger, M.: Exponent trade-off for hypothesis testing over noisy channels. In: Proceeding on IEEE International Symposium Information Theory (ISIT), Paris, France, pp. 1852–1856 (2019)

Xu, X., Huang, S.-L.: On distributed learning with constant communication bits. IEEE J. Sel. Areas Inf. Theory 3(1), 125–134 (2022)

Article  Google Scholar 

Sreekumar, S., Gündüz, D.: Distributed hypothesis testing over a noisy channel: error-exponents trade-off. Entropy 25, 2 (2023)

Article  MathSciNet  Google Scholar 

Katz, G., Piantanida, P., Debbah, M.: Distributed binary detection with lossy data compression. IEEE Trans. Inf. Theory 63(8), 5207–5227 (2017)

Article  ADS  MathSciNet  Google Scholar 

Mhanna, M., Piantanida, P.: On secure distributed hypothesis testing. In: Proceeding on IEEE International Symposium on Information Theory (ISIT), Hong Kong, China, Jun, pp. 1605–1609 (2015)

Sreekumar, S., Gündüz, D., Cohen, A.: Distributed hypothesis testing under privacy constraints. In: Proceeding on IEEE Information Theory Workshop (ITW), pp. 1–5 (2018)

Gilani, A., Amor, S.B., Salehkalaibar, S., Tan, V.: Distributed hypothesis testing with privacy constraints. Entropy 21(478), 1–27 (2019)

MathSciNet  Google Scholar 

Sreekumar, S., Cohen, A., Gündüz, D.: Privacy-aware distributed hypothesis testing. Entropy 22, 6 (2020)

Article  MathSciNet