In a speech on Friday, Clinton dismissed calls for a Cold War-style containment policy and instead described the relationship as an increasingly complex global "entanglement".
"This is not a relationship that fits neatly into the black and white categories like 'friend' or 'rival'.
"It is clear that we cannot paper over the difference between our countries; nor should we try to do so," she said. "But the future of our relationship can be strong if we each meet our responsibilities as great nations."
Chinese officials have emphasized what they see as common concerns while acknowledging the complexity of the relationship.
"When the relationship is strained, we need to bear in mind the bigger picture and not allow any individual issue to disrupt our overall cooperation," Cui said in a speech on Friday.
And for Chinese Ambassador to the US Zhang Yesui, it is not strange to see China and the US hold different views on some issues due to the different political systems, culture, history and social development.
"The key is to respect and take care of each other's core interests and major concerns, and we must solve the problems through dialogue and consultation on an equal footing."
Analysts believe it is a state visit meant to reset relations after a rocky year, and moreover it might help lay the foundations for bilateral ties in a transformational era in the near future.
Others also hold that the visit will benefit regional and international relations on the whole.
China and the US have experienced an eventful 2010, with an array of issues affecting bilateral ties, including US arms sales to Taiwan at the beginning of the year and the continuous pressure from the US on China's trade and currency rate.
"It is absolutely critical for the two sides to be setting a tone that says 'hang on a second, we are committed to an effective, positive relationship'," Center for Strategic and International Studies scholar Charles Freeman, a former trade negotiator in the George W. Bush administration, told The Associated Press.
According to Jin Canrong, deputy director of the School of International Studies at Renmin University of China in Beijing, it is unrealistic to expect that a single visit by a leader will solve all major problems between the two countries, yet more communication between the two sides will certainly help to improve mutual trust.
According to Jin, the old issues between the two countries, including Taiwan and Tibet, will continue to feature in bilateral ties, while some new issues will keep emerging, including economic competition and friction in military ties.
However, "as it is unlikely that the US will manage to confront or contain China, the only way left is to try to get China engaged in its global agenda", Jin said.
"The two will have a functional partnership by cooperating on an issue-by-issue base. Yet to achieve this, they need a mechanism to deal with their differences."
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