Preparation of an arbitrary density matrix of a harmonic oscillator

Law, C. K.; Eberly, J. H.; Kneer, B.

doi:10.1080/09500349708231875

Cited by 9 publications

(8 citation statements)

References 14 publications

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“…Additional nonclassical states are investigated theoretically by Gou and Knight [ 23 ], Gou et al [ 37 ], and Gerry et al [ 37 ]. Schemes which can generate arbitrary states of the single-mode photon field [ 127 , 128 ] can also be applied directly to generate arbitrary motional states of a trapped atom and perform quantum measurements of an arbitrary motional observable [ 129 ]. A scheme which can generate arbitrary entanglement between the internal and motional levels of a trapped ion is discussed by Kneer and Law [ 130 ].…”

Section: Quantum-state Manipulationmentioning

confidence: 99%

Experimental issues in coherent quantum-state manipulation of trapped atomic ions

Wineland

Monroe

Itano

et al. 1998

J. Res. Natl. Inst. Stand. Technol.

1,444

2,119

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Methods for, and limitations to, the generation of entangled states of trapped atomic ions are examined. As much as possible, state manipulations are described in terms of quantum logic operations since the conditional dynamics implicit in quantum logic is central to the creation of entanglement. Keeping with current interest, some experimental issues in the proposal for trappedion quantum computation by J. I. Cirac and P. Zoller (University of Innsbruck) are discussed. Several possible decoherence mechanisms are examined and what may be the more important of these are identified. Some potential applications for entangled states of trapped-ions which lie outside the immediate realm of quantum computation are also discussed.

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Section: Quantum-state Manipulationmentioning

confidence: 99%

Experimental issues in coherent quantum-state manipulation of trapped atomic ions

Wineland

Monroe

Itano

et al. 1998

J. Res. Natl. Inst. Stand. Technol.

1,444

2,119

View full text Add to dashboard Cite

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“…If the system is non-generic, in particular, is degenerate then the method may work if the degenerate states can be selectively addressed by using polarization of the incoherent radiation. For degenerate systems (harmonic oscillator) another scheme was proposed [5].…”

Section: Engineering Arbitrary Quantum Statesmentioning

confidence: 99%

“…A challenging topic in quantum control is to provide practical methods for engineering arbitrary quantum states [5]. The interest to this topic is driven by fundamental connections to quantum physics as well as by potential applications to quantum state measurement [5] and quantum computing with mixed states and nonunitary quantum gates [6]. Various recipes for engineering arbitrary quantum states of light were proposed [7,8].…”

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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“…An alternative method has been proposed to deterministically map a previously prepared superposition of atomic Zeeman states onto the field of a cavity [14]. A more general deterministic scheme to prepare arbitrary field states has been suggested by Law and Eberly [3,15]. The idea relies on coupling the harmonic oscillator to an auxiliary two-level quantum system through a sequence of simple interactions.…”

mentioning

confidence: 99%

“…arbitrary density matrices of harmonic oscillators [15], to the creation of arbitrary motional observables [16] such as the phase [26], and to the generation of arbitrary Zeeman state superpositions [27]. The precision with which we can implement this technique has a direct relation to the efficiency of quantum-information processing using trapped ions [9].…”

mentioning

confidence: 99%