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Feedback control is an essential component of many modern technologies and provides a key capability for emergent quantum technologies. We extend existing approaches of direct feedback control in which the controller applies a function…

Quantum Physics · Physics 2020-12-15 Hui Chen , Hanhan Li , Felix Motzoi , Leigh S. Martin , K. Birgitta Whaley , Mohan Sarovar

The standard quantum formalism introduced at the undergraduate level treats measurement as an instantaneous collapse. In reality however, no physical process can occur over a truly infinitesimal time interval. A more subtle investigation of…

Quantum Physics · Physics 2020-04-22 Leigh S. Martin

We propose a feedback control scheme for generating and stabilizing pure states of transport devices, such as charge qubits, under non-equilibrium conditions. The purification of the device state is conditioned on single electron jumps and…

Mesoscale and Nanoscale Physics · Physics 2011-08-23 Christina Pöltl , Clive Emary , Tobias Brandes

We present an analytical solution of the single photon quantum feedback in a cavity quantum electrodynamics system based on a half cavity set-up coupled to a structured continuum. The exact analytical expression we obtain allows us to…

We introduce a general framework, based on collision models and discrete CP-maps, to describe on an equal footing coherent and measurement-based feedback control of quantum mechanical systems. We apply our framework to prominent tasks in…

Quantum Physics · Physics 2023-10-23 Alfred Harwood , Matteo Brunelli , Alessio Serafini

Recently discovered measurement-induced entanglement phase transitions in monitored quantum circuits provide a novel example of far-from-equilibrium quantum criticality. Here, we propose a highly efficient strategy for experimentally…

Quantum Physics · Physics 2023-07-24 Ali G. Moghaddam , Kim Pöyhönen , Teemu Ojanen

We study the influence of feedback operations on the dynamics of $(d+1)$-dimensional monitored random quantum circuit. Competition between unitary dynamics and measurements leads to an entanglement phase transition, while the feedback…

Statistical Mechanics · Physics 2024-02-23 Piotr Sierant , Xhek Turkeshi

The wide-ranging adoption of quantum technologies requires practical, high-performance advances in our ability to maintain quantum coherence while facing the challenge of state collapse under measurement. Here we use techniques from control…

Quantum Physics · Physics 2017-02-01 Sandeep Mavadia , Virginia Frey , Jarrah Sastrawan , Stephen Dona , Michael J. Biercuk

At the quantum level, feedback-loops have to take into account measurement back-action. We present here the structure of the Markovian models including such back-action and sketch two stabilization methods: measurement-based feedback where…

Optimization and Control · Mathematics 2015-01-09 Pierre Rouchon

Developments over the last two decades have opened the path towards quantum technologies in many quantum systems, such as cold atoms, trapped ions, cavity-quantum electrodynamics (QED), and circuit-QED. However the fragility of quantum…

Quantum Physics · Physics 2020-09-17 Shay Hacohen-Gourgy , Leigh S. Martin

Quantum mechanics dictates the band-structure of materials that is essential for functional electronic components. With increased miniaturization of devices, it becomes possible to exploit the full potential of quantum mechanics through the…

Quantum Physics · Physics 2022-05-26 Kasper Poulsen , Alan C. Santos , Lasse B. Kristensen , Nikolaj T. Zinner

In this paper, we consider N-level quantum angular momentum systems interacting with electromagnetic fields undergoing continuous-time measurements. We suppose unawareness of the initial state and physical parameters, entailing the…

Optimization and Control · Mathematics 2020-07-09 Weichao Liang , Nina H. Amini , Paolo Mason

Measurement of entanglement remains an important problem for quantum information. We present the design and simulation of an experimental method for entanglement estimation for a general multiqubit state. The system can be in a pure or a…

Quantum Physics · Physics 2012-11-09 E. C. Behrman , J. E. Steck

A measurement-based quantum feedback protocol is developed for spin state initialization in a gate-defined double quantum dot spin qubit coupled to a superconducting resonator. The protocol improves qubit state initialization as it is able…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Azzouz Aarab , Rémi Azouit , Vincent Reiher , Yves Bérubé-Lauzière

Conditional measurements on the undriven mode of a two-mode cavity QED system prepare a coherent superposition of ground states which generate quantum beats. The continuous system drive induces decoherence through the phase interruptions…

We consider open quantum systems weakly coupled to thermal reservoirs and subjected to quantum feedback operations triggered with or without delay by monitored quantum jumps. We establish a thermodynamic description of such system and…

Statistical Mechanics · Physics 2015-06-16 Philipp Strasberg , Gernot Schaller , Tobias Brandes , Massimiliano Esposito

Recently, several groups have demonstrated two-qubit gate fidelities in semiconductor spin qubit systems above 99%. Achieving this regime of fault-tolerant compatible high fidelities is nontrivial and requires exquisite stability and…

We compare the performance of continuous coherent feedback, implemented using an ideal single-qubit controller, to that of continuous measurement-based feedback for the task of controlling the state of a single qubit. Here the basic…

Quantum Physics · Physics 2017-08-01 Ashkan Balouchi , Kurt Jacobs

Feedback control of qubits is a highly demanded technique for advanced quantum information protocols such as quantum error correction. Here we demonstrate active reset of a silicon spin qubit using feedback control. The active reset is…

Mesoscale and Nanoscale Physics · Physics 2023-06-02 Takashi Kobayashi , Takashi Nakajima , Kenta Takeda , Akito Noiri , Jun Yoneda , Seigo Tarucha

We present a general approach to measurement-based quantum feedback that employs proportional and quantum state-based (PaQS) feedback components to obtain locally optimal protocols. To demonstrate the power of the method, we first show that…

Quantum Physics · Physics 2020-12-23 Song Zhang , Leigh Martin , K. Birgitta Whaley