Read the abstract ➤ https://www.conf42.com/Quantum_Computing_2024_Pranav_Srikanth_quantum_phase_operator Other sessions at this event ➤ https://www.conf42.com/quantum2024 Support our mission ➤ https://www.conf42.com/support Join Discord ➤ https://discord.gg/mvHyZzRGaQ Chapters 0:00 intro 0:26 preamble 0:56 historical context and dirac's dilemma 1:15 defining phase operators in quantum harmonic oscillators 2:40 dirac's initial attempt and its challenges 4:26 lewis's alternative approach 6:03 susskind and glogover's novel approach 8:49 pegg and barnett's finite dimensional subspace 10:22 building a valid phase operator 11:52 recent advancements and applications 12:51 conclusion and future directions