Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
By K. Khodjasteh, Daniel A. Lidar. 2006
150 citations recorded by the source corpus.
Dynamical decoupling can be used to preserve arbitrary quantum states despite undesired interactions with the environment, using control Hamiltonians affecting the system only. We present a system-independent analysis of dynamical decoupling based on leading order decoupling error estimates, valid for bounded-strength environments. Using as a key tool a renormalization transformation of the effective system-bath coupling Hamiltonian, we delineate the reliability domain of dynamical decoupling used for quantum state preservation, in a general setting for a single qubit. We specifically analyze and compare two deterministic dynamical decoupling schemes\char22{}periodic and concatenated\char22{}and distinguish between two limiting cases of fast versus slow environments. We prove that concatenated decoupling outperforms periodic decoupling over a wide range of parameters. These results are obtained for both ``ideal'' (zero-width) and realistic (finite-width) pulses This work extends and generalizes our earlier work [Phys. Rev. Lett. 95, 180501 (2005)].
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/9681ce46f48b54569a825e13e89dc91b533b43bc
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In Artificial Intelligence
- G. Quiroz
- Lina Tewala
- Nic Ezzell
- Bibek Pokharel
- Ka Wa Yip
- E. Levenson-Falk
- Huo Chen
- Elisabetta Paladino
In Atomic and Molecular Physics, and Optics
- G. Quiroz
- Lina Tewala
- Nic Ezzell
- Bibek Pokharel
- Elisabetta Paladino
- Daniel A. Lidar
- Giuseppe Falci
- Y. Galperin
Citations in the corpus
- Dynamical decoupling for superconducting qubits: A performance survey (2022, methodology): “Namely, we also plot the Eulerian super-cycle versions [73, 80] (denoted by S), KDD [48, 75] which is a composite pulse XY4, and CDD n [50, 88] which is a recursive embedding of XY4.”
- Dephasing time of GaAs electron-spin qubits coupled to a nuclear bath exceeding 200 μs (2011, background): “, but several alternatives have recently been develope”
- Suppression of Crosstalk in Superconducting Qubits Using Dynamical Decoupling (2021, methodology): “These include two repetitions of XY4 (XYXY), one repetition of palindromic XY4 (YXYXXYXY; a sequence known to result in theory in higher order suppression than XY4 [36, 47]) and one repetition of the 4th order Uhrig DD sequence (UDD4), consisting of four X pulses with non-uniform intervals (also kno”
- 1 / f noise: Implications for solid-state quantum information (2013, background): “Instead, CDD does not give relevant improvement even if it outperforms PDD for a wide range of parameters (Khodjasteh and Lidar, 2007).”