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IEEE Trans. Inform. Theory (1)

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Optimal Randomized Measurements for a Family of Nonlinear Quantum Properties

Zhenyu Du ^1,*, Yifan Tang ^2,*, Andreas Elben ^3,4, Ingo Roth⁵, Jens Eisert ², and Zhenhuan Liu ^1,†

¹Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, China
²Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, Berlin 14195, Germany
³PSI Center for Scientific Computing, Theory and Data, Paul Scherrer Institute, 5232 Villigen PSI, Switzerland
⁴ETHZ-PSI Quantum Computing Hub, Paul Scherrer Institute, 5232 Villigen PSI, Switzerland
⁵Quantum Research Center, Technology Innovation Institute, Masdar City, Abu Dhabi, United Arab Emirates

^*Z.D. and Y.T. contributed equally to this work.
^†Contact author: qubithuan@gmail.com

Simultaneous Estimation of Nonlinear Functionals of a Quantum State

Kean Chen, Qisheng Wang, Zhan Yu, and Zhicheng Zhang

IEEE Trans. Inform. Theory 72 6740 (2026)

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