Japan’s prime minister, Sanae Takaichi, will meet President Trump in New York City on Tuesday to discuss China’s economic and security pressure, while seeking to reduce tensions with Beijing. The talks, held on the sidelines of the United Nations General Assembly, come a day before Mr. Trump is set to welcome China’s leader, Xi Jinping, for a state visit in Washington. Takaichi is expected to raise China’s restrictions on rare earth mineral exports and other increasingly aggressive measures, while emphasizing her desire for de-escalation. She also remains focused on persuading Mr. Trump to preserve U.S. security commitments in East Asia, including the more than 50,000 American troops stationed in Japan. Kenneth R. Weinstein of the Hudson Institute said Takaichi would likely seek to reaffirm the U.S.-Japan alliance as a buffer against Mr. Xi.