Principal component analysis for LISA: The time delay interferometry connection

Romano, Joseph D.; Woan, G.

doi:10.1103/physrevd.73.102001

Cited by 38 publications

(41 citation statements)

References 21 publications

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“…In coherent control, measurement is usually regarded as having deleterious effects. Recent results have shown that quantum measurements can be combined with unitary transformations to complete some quantum manipulation tasks and enhance the capability of quantum control [41], [49], [50]- [55]. For example, Vilela Mendes and Man'ko [41] showed that nonunitarily controllable systems might become controllable by using "measurement plus evolution".…”

Section: The General Methodsmentioning

confidence: 99%

Sliding mode control of quantum systems

Dong¹,

Petersen²

2009

New J. Phys.

105

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This paper proposes a new robust control method for quantum systems with uncertainties involving sliding mode control (SMC). Sliding mode control is a widely used approach in classical control theory and industrial applications. We show that SMC is also a useful method for robust control of quantum systems. In this paper, we define two specific classes of sliding modes (i.e., eigenstates and state subspaces) and propose two novel methods combining unitary control and periodic projective measurements for the design of quantum sliding mode control systems. Two examples including a two-level system and a three-level system are presented to demonstrate the proposed SMC method. One of main features of the proposed method is that the designed control laws can guarantee desired control performance in the presence of uncertainties in the system Hamiltonian. This sliding mode control approach provides a useful control theoretic tool for robust quantum information processing with uncertainties.

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Section: The General Methodsmentioning

confidence: 99%

Sliding mode control of quantum systems

Dong¹,

Petersen²

2009

New J. Phys.

105

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“…However, the assumption of constant L is too restrictive, since L can be manipulated by adjusting the state of the environment through its temperature, pressure, or more generally through its distribution function (spectral density). Control through adjusting the state of the environment in general does not preserve quantum coherence in the controlled system and for this reason is called incoherent [3].…”

Section: Coherent and Incoherent Controlsmentioning

confidence: 99%

“…Controlled manipulation by atoms and molecules using external controls is an active field of modern research with applications ranging from selective creation of atomic or molecular excitations out to control of chemical reactions or design of nanoscale systems with desired properties. The external control may be either coherent (e.g., a tailored laser pulse [1]) or incoherent (e.g., a specially adjusted or engineered environment [2,3] or quantum measurements commonly used with and sometimes without feedback [4]).…”

mentioning

confidence: 99%

Engineering arbitrary pure and mixed quantum states

Pechen

2011

Phys. Rev. A

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This work addresses a fundamental problem of controllability of open quantum systems, meaning the ability to steer arbitrary initial system density matrix into any final density matrix. We show that under certain general conditions open quantum systems are completely controllable and propose the first, to the best of our knowledge, deterministic method for a laboratory realization of such controllability which allows for a practical engineering of arbitrary pure and mixed quantum states. The method exploits manipulation by the system with a laser field and a tailored nonequilibrium and time-dependent state of the surrounding environment. As a physical example of the environment we consider incoherent light, where control is its spectral density. The method has two specifically important properties: it realizes the strongest possible degree of quantum state control --- complete density matrix controllability which is the ability to steer arbitrary pure and mixed initial states into any desired pure or mixed final state, and is "all-to-one", i.e. such that each particular control can transfer simultaneously all initial system states into one target state

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“…In [34], the authors discussed the clock-noise calibration of the phase fluctuations of the onboard ultrastable oscillators for the second generation formulation of TDI. For more discussion on TDI algorithm and its application to LISA, please see [35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Frequency response of time-delay interferometry for space-based gravitational wave antenna

et al. 2019

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Space-based gravitational wave detectors cannot keep rigid structures and precise arm length equality, so the precise equality of detector arms which is required in a ground-based interferometer to cancel the overwhelming laser noise is impossible. The time-delay interferometry method is applied to unequal arm lengths to cancel the laser frequency noise. We give analytical formulas of the averaged response functions for tensor, vector, breathing and longitudinal polarizations in different TDI combinations, and obtain their asymptotic behaviors. At low frequencies, f f * , the averaged response functions of all TDI combinations increase as f 2 for all six polarizations. The one exception is the averaged response functions of ζ for all six polarizations increase as f 4 in the equilateral-triangle case. At high frequencies, f f * , the averaged response functions of all TDI combinations for the tensor and breathing modes fall off as 1/f 2 , the averaged response functions of all TDI combinations for the vector mode fall off as ln(f )/f 2 , and the averaged response functions of all TDI combinations for the longitudinal mode fall as 1/f . We also give LISA and TianQin sensitivity curves in different TDI combinations for tensor, vector, breathing and longitudinal polarizations.

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Principal component analysis for LISA: The time delay interferometry connection

Cited by 38 publications

References 21 publications

Sliding mode control of quantum systems

Sliding mode control of quantum systems

Engineering arbitrary pure and mixed quantum states

Frequency response of time-delay interferometry for space-based gravitational wave antenna

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