Experimental demonstration of simplified quantum process tomography

Abstract

The essential tool to characterize dynamics of an open quantum system is quantum process tomography (QPT). Although standard QPT methods are hard to be scalable, simplified QPT approach is available if we have the prior knowledge that the system Hamiltonian commutes with the system-environment interaction Hamiltonian. Using a nuclear magnetic resonance (NMR) quantum simulator, we experimentally simulate dephasing channels to demonstrate the simplified QPT as well as the standard QPT method as a comparison. The experimental results agree well with our predictions which confirm the validity and better efficiency of the simplified QPT.

Ancilla-Assisted Measurements on Quantum Ensembles: General Protocols and Applications in NMR Quantum Information Processing

“…The physical realization of QPT has been demonstrated on various experimental set-ups [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45] . Several developments in the methodology of QPT have also been reported 46,47 . In particular, it has been shown that ancilla-assisted process tomography (AAPT) can characterize a process with a single QST 31,36,48,49 .…”

Implementing efficient selective quantum process tomography of superconducting quantum gates on IBM quantum experience

“…Resource requirements for standard QST and QPT methods grow exponentially with increasing system size, and hence several novel methods have been designed that focus on simplifying and reducing experimental complexity such as maximum likelihood estimation 3 , adaptive quantum tomography 4 , self-guided tomography 5 , ancilla-assisted tomography 6 , compressed sensing tomography 7 , 8 , and least square optimization based tomography 9 , 10 . These novel tomography protocols have been experimentally demonstrated on various physical configurations such as NMR 11 , 12 , linear-optics 13 , NV-centers 14 , ion-trap based quantum processors 15 , photonic qubits 16 , and superconducting qubits 17 – 20 . It has been shown that sequential weak value measurement can be used to perform direct QPT of a qubit channel 21 , 22 .…”

Implementing efficient selective quantum process tomography of superconducting quantum gates on the IBM quantum processor

“…These novel QST and QPT protocols have been experimentally demonstrated on various physical configurations such as NMR [13][14][15], linear-optics [16,17], NVcenters [18], ion-trap based quantum processors [19], photonic qubits [20], and superconducting qubits [21][22][23][24]. It has been shown that sequential weak value measurement can be used to perform direct QPT of a qubit channel [25,26].…”