Optimal clock speed of qubit gate operations on open quantum systems

Chanda, Nilanjana; Bhattacharyya, Rangeet

doi:10.1103/physreva.101.042326

Cited by 13 publications

(6 citation statements)

References 35 publications

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“…In a situation, where the assumption fails, one would expect a competition between the decoherence due to the drive and system-environment interaction. We have shown that similar effect gives rise to the existence of the optimal clock speed for qubit gates in open quantum systems [19]. As a result, the system would end up in a different mixed state which might not be decomposed into the eigenstates of the drive since the system would not be diagonal in the eigen representation of the drive anymore.…”

Section: Discussionmentioning

confidence: 88%

“…The master equation is named as fluctuation-regulated quantum master equation (FRQME). We note that in the recent years, FRQME has been used to predict the optimal clock speed of qubit gates and the nonlinearity of the light shifts [19,20]. We use FRQME for the purpose of including the drive-induced dissipation within the dynamics of the system.…”

Section: Introductionmentioning

confidence: 99%

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Emergence of the Born rule in strongly-driven dissipative systems

Chanda,

Bhattacharyya

2021

Preprint

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To understand the dynamical origin of the measurement in quantum mechanics, several models have been put forward which have a quantum system coupled to an apparatus. The system and the apparatus evolve in time and the Born rule for the system to be in various eigenstates of the observable is naturally obtained. In this work, we show that the effect of the drive-induced dissipation in such a system can lead to the Born rule, even if there is no separate apparatus. The applied drive needs to be much stronger than the system-environment coupling. In this condition, we show that the dynamics of a driven-dissipative system could be reduced to a Milburn-like form, using a recently-proposed fluctuation-regulated quantum master equation [A. Chakrabarti and R. Bhattacharyya, Phys. Rev. A 97, 063837 (2018)]. The system evolves irreversibly under the action of the first-order effect of the drive and the drive-induced dissipation. The resulting mixed state is identical to that obtained by using the Born rule.

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Section: Discussionmentioning

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Emergence of the Born rule in strongly-driven dissipative systems

Chanda,

Bhattacharyya

2021

Preprint

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“…Quantum gate operations, like its classical counterpart, have specific optimal clock speed [19]. They showed that to get maximum fidelity the frequency of Rabi oscillation (ω 1 here) work as effective clock speed and it is identical to single-as well as multiple-qubit gates.…”

Section: Discussionmentioning

confidence: 99%

“…Here SWAP gate is constructed as a sequence of narrow square pulses of fixed parameters. For each of these pulses, one can construct a suitable superoperator Γ in Liouville space [19]. Sequential application of respective Γ's will lead to the final density matrix.…”

Section: Discussionmentioning

confidence: 99%

Efficient transfer of entanglement along a qubit chain in the presence of thermal fluctuations

Das¹,

Bhattacharyya²

2022

Preprint

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Quantum communications require efficient implementations of quantum state transportation with high fidelity. Here, we consider the transport of entanglement along a chain of qubits. A series of SWAP operations involving successive pairs of qubits can transport entanglement along the chain.We report that the fidelity of the abovementioned gate has a maximum value corresponding to an optimum value of the drive amplitude in the presence of drive-induced decoherence. To incorporate environmental effect, we use a previously reported fluctuation-regulated quantum master equation [A. Chakrabarti and R. Bhattacharyya, Phys. Rev. A 97, 063837 (2018)]. The existence of an optimum drive amplitude implies that these series of SWAP operations on open quantum systems would have an optimal transfer speed of the entanglement.

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“…In the regulator, τ c is the timescale of the decay of autocorrelations of the fluctuations. In recent times, we have explored the effect of the DID in quantum computation [35], in quantum foundations [36],…”

Section: A Fluctuation-regulated Quantum Master Equationmentioning

confidence: 99%

Optimal population transfer using the adiabatic rapid passage in the presence of drive-induced dissipation

Chanda¹,

Patnaik²,

Bhattacharyya³

2023

Preprint

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Adiabatic rapid passage (ARP) is extensively used to achieve efficient transfer or inversion of populations in quantum systems. Landau and Zener accurately estimated the transfer probability of ARP for a closed system and showed that this probability improved with higher drive amplitude. Recently, we have found that in open quantum systems, applying a strong drive can give rise to significant drive-induced dissipation (DID). Here, we investigate the effect of DID on the performance of ARP that is implemented using a linearly chirped pulse on a two-level system.From the Landau-Zener formula, the population transfer was known to be enhanced with increasing drive amplitude. However, here we show that beyond a threshold value of the drive amplitude, the transfer probability is reduced because of the detrimental effect of DID. We show that the competition between the two processes results in an optimal behavior of the population transfer.We also propose a phenomenological model that helps explain such nonmonotonic behavior of the transfer. Using this model, we estimate the optimum time at which the maximum population transfer occurs. We extend the analysis for rectangular as well as Gaussian pulse profiles and conclude that a Gaussian pulse outperforms a rectangular pulse.

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Optimal clock speed of qubit gate operations on open quantum systems

Cited by 13 publications

References 35 publications

Emergence of the Born rule in strongly-driven dissipative systems

Emergence of the Born rule in strongly-driven dissipative systems

Efficient transfer of entanglement along a qubit chain in the presence of thermal fluctuations

Optimal population transfer using the adiabatic rapid passage in the presence of drive-induced dissipation

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