Tanmay Singal

Abstract It is imperative to minimize resources needed to implement quantum operations on existing near-term quantum devices. With this in mind, we propose a scheme to implement an arbitrary general quantum measurement, also known as Positive Operator Valued Measures (POVM) in dimension d using only classical resources and a single ancillary qubit. The proposed method is based on probabilistic implementation of d outcome measurements which is followed by postselection on some of the received outcomes. This is an extension of an earlier work which required dichotomic measurements, no additional ancillary qubits, and whose success probability scaled like 1/d. The success probability of our scheme depends on the operator norms of the coarse grained POVM effects. Significantly, we show that for typical Haar random rank-one POVMs with at most d 2 outcomes, the success probability of our simulation scheme does not go to zero with the dimension of the system. We conjecture that this is true for all POVMs in dimension d. This is supported by numerical computations showing constant success probability for SIC-POVMs and (non symmetric) IC-POVMs in dimensions up to 323. Additionally, for the gate noise model used in the recent demonstration of quantum computational advantage by Google, we prove that for typical Haar random POVMs noise compounding in circuits required by our scheme is substantially lower than in the scheme that directly uses Naimarks dilation theorem. 12:30 - 13:00 Round tables with Piotr Kopszak, Michal Studzinski, Yuxiang Yang, Tanmay Singal, and Filip Maciejewski At the end of the session, you can meet with the speakers directly. Round tables take place in parallel, each speaker having their own meeting. Session 2B Stage B