A gyroscope comprising: at least one optical waveguide comprising a first portion, a second portion, and a third portion, the second portion between the first portion and the third portion; at least one light source in optical communication with the first portion of the at least one optical waveguide ; a first optical resonator in optical communication with the second portion of the at least one optical waveguide , the first optical resonator having an input power coupling rate κ in with the second portion of the at least one optical waveguide and having a loss rate Z greater than zero; a second optical resonator in optical communication with the first optical resonator with an inter-resonator power coupling rate κ and having a gain rate G greater than zero, the at least one optical waveguide , the first optical resonator , and the second optical resonator configured to be below lasing threshold; and at least one optical detector in optical communication with the third portion of the at least one optical waveguide , the at least one optical waveguide configured to receive, from the at least one light source , probe light having an input power P in at a frequency ω p , the at least one optical waveguide further configured to transmit at least a portion of the received probe light having an output power P out to the at least one optical detector , the at least one optical detector configured to measure a rotation-induced change in the output power P out while the gyroscope is operating with a ratio κ / κ EP of the inter-resonator coupling rate κ to an exceptional-point inter-resonator coupling rate κ EP in a range of greater than 0.75 and less than 1.35. at least one optical waveguide comprising a first portion, a second portion, and a third portion, the second portion between the first portion and the third portion; at least one light source in optical communication with the first portion of the at least one optical waveguide ; a first optical resonator in optical communication with the second portion of the at least one optical waveguide , the first optical resonator having an input power coupling rate κ in with the second portion of the at least one optical waveguide and having a loss rate Z greater than zero; a second optical resonator in optical communication with the first optical resonator with an inter-resonator power coupling rate κ and having a gain rate G greater than zero, the at least one optical waveguide , the first optical resonator , and the second optical resonator configured to be below lasing threshold; and at least one optical detector in optical communication with the third portion of the at least one optical waveguide , the at least one optical waveguide configured to receive, from the at least one light source , probe light having an input power P in at a frequency ω p , the at least one optical waveguide further configured to transmit at least a portion of the received probe light having an output power P out to the at least one optical detector , the at least one optical detector configured to measure a rotation-induced change in the output power P out while the gyroscope is operating with a ratio κ / κ EP of the inter-resonator coupling rate κ to an exceptional-point inter-resonator coupling rate κ EP in a range of greater than 0.75 and less than 1.35. <EOS>