Fig. 1. Schematic of measurement using twin-Fock states of light source in Mach-Zehnder interferometer

Fig. 2. Probability simulation of the difference in the number of particles in twin-Fock state and single-photon state. (a) Six-photon twin-Fock statewith k=0; (b) six-photon twin-Fock statewith k=±1; (c) six-photon twin-Fock statewith k=±2; (d) six-photon twin-Fock statewith k=±3; (e) single-photon statewith k=1/2; (f) single-photon statewith k=-1/2

Fig. 3. Likelihood function of a simulation to eliminate phase ambiguity. (a) Ideal measurement result of 100 six-photon twin-Fock states without bias phase; (b) ideal measurement results of 100 six-photon twin-Fock states without bias phase and 10 six-photon twin-Fock states with bias phase of π/4 and product of their likelihood function; (c) ideal measurement result of 10 single-photon state; (d) product of likelihood function of single-photon state and twin-Fock state

Fig. 4. Phase sensitivity changed with phase and measurement deviation. (a) Relationship of phase sensitivity and phase; (b) deviation of estimated value from true value