የኳንተም ስሌት እና የኳንተም መረጃ ለኮምፒዩተር ሳይንስ፣ ሂሳብ፣ ፊዚካል ሳይንሶች እና ምህንድስና ከፍተኛ ተያያዥነት አላቸው። በኮሙኒኬሽን፣ ስሌት እና ምስጠራ ላይ አዲስ የቴክኖሎጂ ፈጠራዎችን ያሳያሉ። የኳንተም ፊዚክስ ፅንሰ-ሀሳብ በመሠረቱ ስቶካስቲክ ስለሆነ፣ ዘፈቀዳዊነት (randomness) እና እርግጠኛ አለመሆን (uncertainty) በኳንተም ስሌት(quantum computation)፣ በኳንተም ማስመሰል (quantum simulation) እና በኳንተም መረጃ (quantum information) ላይ ጥብቅ ግንኙነት አላቸው። ስለዚህም የኳንተም ስልተ ቀመሮች በተፈጥሮ ዘፈቀዳዊ (random) ናቸው፣ እና ኳንተም ማስመሰል የሞንቴ ካርሎ ቴክኒኮችን በስፋት ይጠቀማል። ስለዚህ ስታቲስቲክስ በኳንተም ስሌት እና ኳንተም ማስመሰል ውስጥ ትልቅ ሚና ሊጫወት ይችላል፣ይህም በተራው ደግሞ የስታቲስቲክስ ስሌትን ለመለወጥ ትልቅ አቅም ይሰጣል። በጥንታዊ ኮምፒውተሮች የውሸት ቁጥሮች (pseudorandom numbers) ብቻ ሊፈጠሩ የሚችሉ ሲሆኑ፣ ኳንተም ኮምፒውተሮች እውነተኛ የዘፈቀደ ቁጥሮችን (genuine random numbers) መፍጠር ይችላሉ። ኳንተም ኮምፒውተሮች የሚዲያን ግምገማን፣ የሞንቴ ካርሎ ውህደትን እና የማርኮቭ ሰንሰለት ማስመሰልን በአፋጣኝ ወይም በአራት ደረጃ ማፋጠን ይችላሉ።

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