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Nonclassical properties of states engineered via coherent operation of photon subtraction and addition on superpositions of coherent states

Zebin Cai, Bin Xu, Benyuan Zhou +2 more

Optics CommunicationsJan 1, 20135 citations

Quantum-enhanced phase estimation with photon-engineered multi-headed cat states

Tooba Bibi, Shahid Iqbal

We investigate multi-headed Schrödinger cat states (MHCS) engineered via multiphoton addition and subtraction sequences, namely addition, subtraction, addition-then-subtraction, and subtraction-then-addition across even, odd, three-headed cat states (3HCS), and four-headed cat states (4HCS). Our analysis reveals that operator noncommutativity plays a decisive role in quantum metrology: addition-then-subtraction consistently yields the highest phase sensitivity among the operations considered, even when alternative orderings exhibit stronger Wigner negativity, highlighting a distinction between phase space and operational nonclassicality. Among all states, 4HCS achieves the best performance due to enhanced interference structures, reaching a significant improvement over the shot-noise limit. We also examine robustness under photon loss and dephasing, confirming their practical advantage for quantum sensing.We investigate multi-headed Schrödinger cat states (MHCS) engineered via multiphoton addition and subtraction sequences, namely addition, subtraction, addition-then-subtraction, and subtraction-then-addition across even, odd, three-headed cat states (3HCS), and four-headed cat states (4HCS). Our analysis reveals that operator noncommutativity plays a decisive role in quantum metrology: addition-then-subtraction consistently yields the highest phase sensitivity among the operations considered, even when alternative orderings exhibit stronger Wigner negativity, highlighting a distinction between phase space and operational nonclassicality. Among all states, 4HCS achieves the best performance due to enhanced interference structures, reaching a significant improvement over the shot-noise limit. We also examine robustness under photon loss and dephasing, confirming their practical advantage for quantum sensing.

Optics ExpressJul 8, 20260 citations

Coherent superposition of photon subtraction- and addition-based two-mode squeezed coherent state: quantum properties and its applications

Wei Ye, Ying Guo, Huan Zhang +4 more

Quantum Information ProcessingJan 18, 202312 citations

Higher order nonclassicality in single photon added and subtracted binomial state of light

Kathakali Mandal, Amit Verma

In the recent years, effect of photon addition and subtraction to a quantum state of light is explored for coherent state, thermal state, Schrödinger cat state, Gaussian state and many more. It is reported that the phenomena of photon addition or subtraction significantly affect nonclassical properties of the states of light. Here we wish to study the effect of photon addition and subtraction to the binomial start of radiation on the nonclassical properties of the state. We observed that the depth of nonclassicality increases with photon addition and decreases with photon subtraction in antibunching and squeezing phenomenon. We also report significant changes in photon number distribution and variable with depending parameters.In the recent years, effect of photon addition and subtraction to a quantum state of light is explored for coherent state, thermal state, Schrödinger cat state, Gaussian state and many more. It is reported that the phenomena of photon addition or subtraction significantly affect nonclassical properties of the states of light. Here we wish to study the effect of photon addition and subtraction to the binomial start of radiation on the nonclassical properties of the state. We observed that the depth of nonclassicality increases with photon addition and decreases with photon subtraction in antibunching and squeezing phenomenon. We also report significant changes in photon number distribution and variable with depending parameters.

AIP conference proceedingsJan 1, 20191 citation

Nonclassicality of superposition of photon-added two-mode coherent states

Gang Ren, Wen‐Hai Zhang

OptikDec 19, 201815 citations

Nonclassicality and decoherence of the coherent superposition operation of photon subtraction and addition on the squeezed state

徐莉娟, 谭国斌, 马善钧 +1 more

The statistical properties of m-coherent superposition operation(μa + νa■)m on the single-mode squeezed vacuum state(M-SSVS) and its decoherence in a thermal environment are studied.Converting the M-SSVS to a squeezed Hermite polynomial excitation state,we obtain a compact expression for the normalization factor of M-SSVS,which is the Legendre polynomial of the squeezing parameter.We also derive the explicit expression of the Wigner function(WF) of the M-SSVS,and find the negative region of the WF in phase space.The decoherence effect on this state is then discussed by deriving the time evolution of the WF.Using the negativity of the WF,the loss of nonclassicality is then discussed.The statistical properties of m-coherent superposition operation(μa + νa■)m on the single-mode squeezed vacuum state(M-SSVS) and its decoherence in a thermal environment are studied.Converting the M-SSVS to a squeezed Hermite polynomial excitation state,we obtain a compact expression for the normalization factor of M-SSVS,which is the Legendre polynomial of the squeezing parameter.We also derive the explicit expression of the Wigner function(WF) of the M-SSVS,and find the negative region of the WF in phase space.The decoherence effect on this state is then discussed by deriving the time evolution of the WF.Using the negativity of the WF,the loss of nonclassicality is then discussed.

中国物理B：英文版Jan 1, 20130 citations

M Times Photon Subtraction-Addition Coherent Superposition Operated Odd-Schrodinger-cat State: Nonclassicality and Decoherence

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M Times Photon Subtraction-Addition Coherent Superposition Operated Odd-Schrodinger-cat State: Nonclassicality and Decoherence

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