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Vector-like quarks have been predicted in various new physics scenariosbeyond the Standard Model (SM). In a simplified modelling of a $(B,Y)$ doubletincluding a vector-like quark $Y$, with charge $-\frac{4}{3}$e, there are onlytwo free parameters: the $Y$ coupling $\kappa_{Y}$ and mass $m_Y$. In the fiveflavor scheme, we investigate the single production of the $Y$ state decayinginto $Wb$ at the Large Hadron Collider (LHC) Run-III and High-Luminosity LHC(HL-LHC) operating at $\sqrt{s}$ = 14 TeV, the possible High-Energy LHC(HE-LHC) with $\sqrt{s}$ = 27 TeV as well as the Future Circular Collider inhadron-hadron mode (FCC-hh) with $\sqrt{s}$ = 100 TeV. Through detailedsignal-to-background analyses and detector simulations, we assess the exclusioncapabilities of the $Y$ state at the different colliders. We find that this canbe improved significantly with increasing collision energy, especially at theHE-LHC and FCC-hh, both demonstrating an obvious advantage with respect to theHL-LHC case in the case of high $m_Y$. Assuming a 10% systematic uncertainty onthe background event rate, the exclusion capabilities are summarized asfollows: (1) the LHC Run-III can exclude the correlated regions of $\kappa_{Y}\in [0.044,0.5]$ and $m_{Y} \in [1000\text{ GeV},3099\text{ GeV}]$ withintegrated luminosity $L = 300\text{ fb}^{-1}$; (2) the HL-LHC can exclude thecorrelated regions of $\kappa_{Y} \in [0.027,0.5]$ and $m_{Y} \in [1000\text{GeV},3653\text{ GeV}]$ with $L = 3$ ab$^{-1}$; (3) the HE-LHC can exclude thecorrelated regions of $\kappa_Y \in [0.030,0.5]$ and $m_{Y} \in [1000\text{GeV} , 4936\text{ GeV}]$ with $L = 3$ ab$^{-1}$; (4) the FCC-hh can exclude thecorrelated regions of $\kappa_{Y} \in [0.051,0.5]$ and $m_{Y} \in [1000\text{GeV} , 6610\text{ GeV}]$ with $L = 3$ ab$^{-1}$.

Single production of an exotic vector-like $Y$ quark at future high energy $pp$ colliders