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.